If the Average Human Life Span Is 82 Years Estimate the Number of Times Earth Will Rotate

1) If the average human life span is 82 years estimate the number of times Earth will rotate on its axis during a human's lifetime Suppose that an object travels from one point in space to another. Make a comparis on between the displace ment and the distance traveled if it takes an irregular path. You drive 6.00 km at 50.0 km/h and then another 6.00 km at 90.0 km/h. Your average speed over the 12.0 km drive will be ______. The slope of a line connecti ng two points on a position versus time graph represent s the objects ______. The slope of a tangent line at a given time on a position versus time graph represent the objects ______The slope of a tangent line at a given time value on a velocity versus time graph gives ______.

Suppose that an object is moving with constant acceleration. Describe what that means regarding the objects velocity, speed, displacement, and distance. Suppose that a car traveling to the East (+x direction ) begins to slow down as it approach es a traffic light. Make a statemen t concerni ng the direction of its accelerati on. Suppose that a car traveling to the West (-x direction ) begins to slow down as it approach es a traffic light. Make a statemen t concerni ng the direction of its accelerati on.

10) The area under the curve of a velocity versus time graph gives represent s the objects______

11) A car traveling with velocity v is decelerat ed by a constant accelerati on of magnitu de a. It travels a distance x before coming to rest. If its initial velocity were doubled, the distance required to stop would ______

12) A stone is thrown straight up. When it reaches its highest point, describe the velocity and accelerati on of the stone.

13) Suppose a ball is thrown straight up, reaches a maximu m height, then falls to its initial height. Make a statemen t about the direction of the velocity and accelerati on as the ball is going up.

14) Two athletes jump straight up. John has twice the initial speed of Harry. Compare d to Harry, John stays airborne ______times as long.

15) Ignoring air resistanc e, two objects are dropped from a bridge, an interval of 1.0 s apart. During the time that both objects continue to fall, their separatio n increases /decrease d/remain s the same. (choose one , explain)

Figure 2- 2

16) Figure 2- 2 represent s the position of a particle as it travels along the x-axis. What is the average velocity of the particle between t = 0 s and t = 3 s?

17) Figure 2- 2 represent s the position of a particle as it travels along the x-axis. What is the average velocity of the particle between t = 2 s and t = 4 s?

Figure 2- 5

18) Figure 2- 5 shows the velocity- versus- time graph for a basketbal l player traveling up and down the court in a straight- line path. Find the displace ment of the player for each of the segments A, B, C and D.

Figure 2- 6

19) Refer to Figure 2- 6. If you start from the Bakery, 21) Figure 2-8 represents the position of a particle as it travels along the x-axis. At what value of t is the speed travel to of the particle equal to zero? the Cafe, and then 22) to the Art Gallery, what is the distance you have traveled? Figure 2- 7

20) Figure 2- 7 represent s the position of a particle as it travels along the x-axis. What is the magnitu de of the average velocity of the particle between t = 1 s and t = 4 s

Figure 2- 8 Figure 2- 8 represent s the position of a particle as it travels along the x-axis. How does the instantan eous speed of the particle when t = 2 s compare with its speed when t = 4 s?

Figure 2- 9

23) Figure 2- 9 represent s the velocity of a particle as it travels along the x-axis. What is the average accelerati on of the particle between t = 1 second and t = 4 seconds?

Figure 2- 10

24) Figure 2- 10 shows the velocity- versus- time graph for a basketbal l player traveling up and down the court in a straight- line path. Find the net displace ment of the player for the 10 s shown on the graph.

25) Figure 2- 10 shows the velocity- versus- time graph for a basketbal l player traveling up and down the court in a straight- line path. Find the total distance run by the player in the 10 s shown in the graph.

26) An airplane starts from rest and accelerat es at 10.8 m/s2. What is its speed at the end of a 400. m- long runway?

27) A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes, giving the car a decelerat ion of 3.50 m/ . How far does the car travel after the driver put on the brakes before it comes to a stop?

28) A car is traveling with a constant speed when the driver suddenly applies the brakes, giving the car a decelerat ion of 3.50 m/s2. If the car comes to a stop in a distance of 30.0 m, what was the car's original speed?

29) An object is thrown upwards with a speed of 14 m/s. How high above the projectio n point does it reach?

30) An object is thrown upwards with a speed of 14 .0 m/s. How long does it take it to reach its maximu m height?

31) An object is thrown up with a speed of 14 m/s. How high above the projectio n point is it after 0.50 s?

32) Two objects are dropped from a bridge, an interval of 1.00 s apart. What is their separatio n 1.00 s after the second object is released?

33) To determin e the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the time is 2.3 s, what is the height of the bridge?

34) To determin e the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the height of the bridge is 41 m, how long will it take for the stone to hit the water? F i g u r e 2 - 2 6

35) The golfer in Figure 2- 26 sinks the ball in two putts, as shown. What is (a) the distance traveled by the ball, and (b) the displace ment of the ball?

36) A tennis that your results verify your answers to part (a). player moves back and forth along the baseline while Figure 2-30 waiting for her opponen t to 37) serve, producin g the position- versus- time graph shown in Figure 2- 30. (a) Without performi ng a calculati on, indicate on which of the segments of the graph, A, B, or C, the player has the greatest speed. Calculate the player's speed for (b) segment A, (c) segment B, and (d) segment C, and show A motorcyc le moves accordin g to the velocity- versus- time graph shown in Figure 2- 31. Find the average accelerati on of the motorcyc le during each of the followin g segments of the motion: (a) A, (b) B, and (c) C.

38) A person on horsebac k moves accordin g to the velocity- versus- time graph shown in Figure 2- 32. Find the displace ment of the person for each of the followin g segments of the motion: (a) A, (b) B, and (c) C.

Figure 2- 32

39) As a train accelerat es away from a station, it reaches a speed of 4.7 m/s in 5.0 s. If the train’s accelerati on remains constant, what is its speed after an addition al 6.0 s has elapsed?

40) Coasting sandy patch with a speed of only 5.4 m/s. Is your final speed in this case 3.4 m/s, more than 3.4 m/s, or less than due west 3.4 m/s? Explain. on your bicycle at 41) 8.4 m/s, you encounte r a sandy patch of road 7.2 m across. When you leave the sandy patch your speed has been reduced by 2.0 m/s to 6.4 m/s . (a) Assumin g the sand causes a constant accelerati on, what was the bicycle's accelerati on in the sandy patch? Give both magnitu de and direction. (b) How long did it take to cross the sandy patch? (c) Suppose you enter the A model rocket rises with constant accelerati on to a height of 3.2 m, at which point its speed is 26.0 m/s . (a) How much time does it take for the rocket to reach this height? (b) What was the magnitu de of the rocket’s accelerati on? (c) Find the height and speed of the rocket 0.10 s after launch.

42) A car in stop- and-go traffic starts at rest, moves forward Figure 2-33 13 m in 43) 8.0 s, then comes to rest again. The velocity- versus- time plot for this car is given in Figure 2- 33. What distance does the car cover in (a) the first 4.0 seconds of its motion and (b) the last 2.0 seconds of its motion? (c) What is the constant speed V that character izes the middle portion of its motion? A model rocket blasts off and moves upward with an accelerati on of 12 2 m/s until it reaches a height of 26 m, at which point its engine shuts off and it continue s its flight in free fall. (a) What is the maximu m height attained by the rocket? (b) What is the speed of the rocket just before it hits the ground? (c) What is the total duration of the rocket's flight?

44) Which quantitie s that we have used this year in Physics is a scalar quantity?

45) Which quantitie s that we have used this year in Physics is a vector quantity?

46) Using direction and velocity, describe condition s in which a car would have a westwar d accelerati on?

47) A soccer player carries the ball for a distance of 40.0 m in the direction 42.0° west of south. Find the westwar d compone nt of the ball's displace ment.

Figure 3- 5

48) Refer to Figure 3- 5. The compone nts of the sum of these vectors are ______

49) A skateboa rder rolls from rest down an inclined ramp that is 15.0 m long and inclined above the horizont al at an angle of θ20.0. When she reaches the bottom of the ramp 3.00 s later her speed is 10.0 m/s . Show that the average accelerati on of the skateboa rder is g sinθ, where g 9.81 m /s2.

50) For projectile motion launched at an angle, the horizont al compone nt of a projectile 's velocity ______.

51) For D) The horizontal component of its velocity is zero. general E) Its acceleration is zero projectil e 52) motion, which stateme nt is true when the projectil e is at the highest point of its trajector y?

A) The horizontal and vertical compone nts of its velocity are zero. B) Its velocity and acceler ation are both zero. C) Its velocity is perpen dicular to the acceler ation. For a projectile launched horizont ally, describe what happens to the vertical compone nt of a projectile 's velocity with no air resistanc e.

53) A pilot drops a bomb from a plane flying horizont ally at a constant speed. Neglecti ng air resistanc e, where will the horizont al location of the plane be when the bomb hits the ground? (relative to the bomb)

54) A rock is thrown at 60° above the horizont al with a velocity of 40m/s. It reaches its highest point and starts falling down. What is the velocity of the rock at the highest point of its trajectory ?

55) A student kicks a soccer ball in a high arc toward the opponen t's goal. Neglecti ng air resistanc e, describe the velocity and accelerati on on its way up in its trajectory .

56) A projectile is launched with an initial velocity of 80 m/s at an angle of 30° above the horizont al. Neglecti ng air resistanc e, what is the horizont al compone nt of the projectile 's accelerati on?

57) A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizont al at a location where g = 10.0 m/s2. What is the horizont al compone nt of its velocity when it is at the highest point of its trajectory ?

58) A bullet is fired from ground level with a speed of 150 m/s at an angle 30.0° above the horizont al at a location where g = 10.0 m/ . What is the vertical compone nt of its velocity when it is at the highest point of its trajectory ?

59) Mary and Debra stand on a snow- covered roof. They both throw snowball s with the same initial speed, but in different direction s. Mary throws her snowball downwa rd, at 30° below the horizont al; Debra throws her snowball upward, at 30°. When the snowball s reach the ground below, which one hits first and which one is faster at contact?

60) An ant travels straight north at 0.03 m/s for 2.5 s, then straight west at 0.04m/s for 3.0s, then travels 30° west of south at 0.02m/s for 10.s. What is the magnitu de and direction of the ant’s resultant displace ment.

61) The horizont al and vertical compone nts of the initial velocity of a football are 16 m/s and 20 m/s respectiv ely. How long does it take for the football to rise to the highest point of its trajectory ?

62) A bullet is fired with a certain velocity at an angle θ above the horizont al at a location where g = 10.0 m/s2. The initial x and y compone nts of its velocity are 86.6 m/s and 50.0 m/s respectiv ely. At what angle is the bullet fired above the horizont al?

63) A bullet is fired from ground level with a certain velocity at an angle θ above the horizont al at a location where g = 10.0 m/s2. The initial x and y compone nts of its velocity are 86.6 m/s and 50.0 m/s respectiv ely. How long does it take before the bullet hits the ground, neglect air resistanc e?

64) A ball rolls over the edge of a table with a horizont al velocity v m/s. The height of the table is 1.6 m and the horizont al range of the ball from the base of the table is 20 m. What is the magnitu de and direction of the ball's accelerati on right before it touches the ground, neglectin g air resistanc e?

65) A ball is thrown horizont ally with an initial velocity of 40 m/s from a height of 10. m. How long will it take for the ball to touch the ground, neglectin g air resistanc e?

66) A ball rolls over the edge of a building with a horizont al velocity 3.20 m/s. The horizont al range of the ball from the base of the table is 20.0 m. How tall is the building, neglectin g air resistanc e?