Learning Intentions

Mr. Renwick’s Physics 11 Name: ______Worksheet – Relative motion Block: ______

Learning Intentions

1. How to graph velocity versus time.

2. How to calculate distance and acceleration from a graph of velocity versus time.

Formulas

Definitions

1. Displacement: The area under the curve of a velocity vs. time graph. Displacement is a vector with

______and ______

2. Acceleration: A ______, represented by the slope of a velocity vs. time graph.

1. Be sure to include ______in all your drawings. This allows you to

______.

Questions

1. Mr. Renwick is driving 112 km/h in reverse in his Lambo. He slams on his brakes, decelerating at 1.25 g. Once he stops, he sits still for 3 seconds, and then accelerates to 100 km/h in 3.7 seconds.

a. Graph his velocity vs. time. Mr. Renwick’s Physics 11 Worksheet – Relative motion

b. Find his average acceleration, average velocity, displacement, and distance travelled:

b.i. While braking

b.ii. While stopped

b.iii. While accelerating Mr. Renwick’s Physics 11 Name: ______Worksheet – Relative motion Block: ______

c. What is his total displacement?

d. What is his total distance travelled? Mr. Renwick’s Physics 11 Worksheet – Relative motion 2. The Bugatti Chiron holds a world record for going from rest to 400 km/h and back to rest again in 41.96 seconds. The following data were recorded during the run:

Time (seconds) Speed (km/h) 0 0 2.4 100 6.1 200 13.1 300 32.6 400 41.96 0

a. Draw a diagram showing the car, the axis, and the appropriate vectors.

b. Graph his velocity vs. time.

c. For each linear segment, find the average acceleration, average velocity, and displacement.

c.i. 0 to 2.4 seconds Mr. Renwick’s Physics 11 Name: ______Worksheet – Relative motion Block: ______

c.ii. 2.4 to 6.1 seconds

c.iii. 6.1 to 13.1 seconds

c.iv. 13.1 to 32.6 seconds

c.v. 32.6 to 41.96 seconds

d. Graph his displacement vs. time. Mr. Renwick’s Physics 11 Worksheet – Relative motion

e. Do you think that this displacement calculation is accurate? Why or why not?