<p>Mr. Renwick’s Physics 11 Name: ______Worksheet – Relative motion Block: ______</p><p>Learning Intentions</p><p>1. How to graph velocity versus time.</p><p>2. How to calculate distance and acceleration from a graph of velocity versus time.</p><p>Formulas</p><p>Definitions</p><p>1. Displacement: The area under the curve of a velocity vs. time graph. Displacement is a vector with</p><p>______and ______</p><p>2. Acceleration: A ______, represented by the slope of a velocity vs. time graph.</p><p>Notes</p><p>1. Be sure to include ______in all your drawings. This allows you to </p><p>______.</p><p>Questions</p><p>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.</p><p> a. Graph his velocity vs. time. Mr. Renwick’s Physics 11 Worksheet – Relative motion </p><p> b. Find his average acceleration, average velocity, displacement, and distance travelled: </p><p> b.i. While braking</p><p> b.ii. While stopped</p><p> b.iii. While accelerating Mr. Renwick’s Physics 11 Name: ______Worksheet – Relative motion Block: ______</p><p> c. What is his total displacement?</p><p> 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:</p><p>Time (seconds) Speed (km/h) 0 0 2.4 100 6.1 200 13.1 300 32.6 400 41.96 0</p><p> a. Draw a diagram showing the car, the axis, and the appropriate vectors.</p><p> b. Graph his velocity vs. time.</p><p> c. For each linear segment, find the average acceleration, average velocity, and displacement.</p><p> c.i. 0 to 2.4 seconds Mr. Renwick’s Physics 11 Name: ______Worksheet – Relative motion Block: ______</p><p> c.ii. 2.4 to 6.1 seconds</p><p> c.iii. 6.1 to 13.1 seconds</p><p> c.iv. 13.1 to 32.6 seconds</p><p> c.v. 32.6 to 41.96 seconds</p><p> d. Graph his displacement vs. time. Mr. Renwick’s Physics 11 Worksheet – Relative motion </p><p> e. Do you think that this displacement calculation is accurate? Why or why not?</p>