Worksheet 1.2 Position, Velocity, Acceleration, Parabolic Motion

SI Physics 221 Your Name:______Date:______

Worksheet 1.2 Position, Velocity, Acceleration, Parabolic Motion.

Calculus terms: Position is the ______of velocity, and velocity is the ______of acceleration. And likewise acceleration is the ______of velocity, and velocity is the ______of position. Acceleration is the ______of position. Acceleration is the instantaneous ______of velocity. And velocity is the instantaneous ______of position. A position function is denoted by the symbol ____, velocity ______and acceleration ______. The units for each respectively are ______, ______, ______.

Evan is rather obnoxious and not in an entertaining way, as a result he has no friends. This forces him to play catch with himself. Evan notices the ball takes 3.4 seconds to return to his hands after throwing it. Assuming gravity is its normal 9.81 m * s^-2, answer the following. Draw a picture it helps. What was the initial velocity, how high did the ball go (from his hands), and at what speed does it hit his hands on the way down? Ok now assume Evan’s hands are 4 feet above the ground when the ball is released. If he throws the ball with a velocity of 2.4 m/s, how long will it take before the ball hits the ground?

A car is driving at 96 km/hr, the guy in front of her isn’t paying attention and is text-messaging his girlfriend, the guy hits the median and assume his car comes to a complete stop immediately. There is a distance of 20 meters between them, how much average deceleration must her brakes apply in order for her not to crash into him?

Unfortunately another girl on a moped behind her isn’t paying attention, at the last minute she slams her breaks but still crashes into her. The moped was traveling at 96km/hr also, but starts braking when they are only 12 m apart, if the moped’s brakes slow it down at a rate of 12.6m*s^-2, how fast in km/hr is the moped going? A man fires an arrow at a target, he fires the arrow at a 34 degree angle from the ground, with a velocity of 15m/s, the target is exactly the same height as the arrow at its initial release, if the target is 60 meters away how long will it take for the arrow to reach the target? Neglect air resistance.