Problem 2 Lovleen vs Andres Lovleen and Andres decide to challenge each other in another foot race. Suppose Andres can accelerate with constant acceleration ao for a time to, but then has zero acceleration after this time. Lovleen on the other hand has no top speed but a smaller (constant) unknown acceleration. After a time 5to, they are tied. (a) Sketch a position, velocity, and acceleration plot of the race. (b) What is the acceleration of Lovleen?

A train moving with constant acceleration travels 7.50 m the 10 th sccond Of its motion during and 5.50 m duning the 12th second OF of its motion. a What is the initial velucity of the train ? b. lohat is the acceleration OF the train ? C: Dctermine the dis tance trave ked by tronh until it stops?

A football player runs from his own goal line to the opposing teams goal line, returning to the fifty-yard line, all in 18.0 s. Calculate (a) his average speed, and (b) the magnitude of his average velocity. (Sec Section 2.2)

A motorist drives for 35.0 minutes at 85.0 km/h and then stops for 15.0 minutes. He then continues north, traveling 130. Km in 2.00 h. (a) What is his total displacement? (b) What is his average velocity?

(a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in the following figure. (b) Identify the time or times (ta,tb,tcetc.) at which the acceleration has the greatest positive value (c) At which times is zero? (d) At times is it negative?

A cyclist sprints at the end of a race to clinch a victory. She has an initial velocity of 11.5 m/s and accelerates at a rate of 0.500m/s2 for 7.00 s. (a) What is her final velocity? (b) The cyclist continues at this velocity to the finish. If she is 300 m from the finish line when she starts to accelerate, how much time did she save? (c) The second-place winner was 5.00 m ahead when the winner started to accelerate, but he was unable to accelerate, and traveled at 11.8 m/s until the finish line. What was the difference in finish time in seconds between the winner and runner-up? How far back was the runner-up when the winner crossed the finish line?

The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?

Unreasonable Results A cyclist rides 16.0 km east, then 8.0 km west, then 8.0 km east, then 32.0 km west, and finally 11.2 km east. If his average velocity is 24 km/h, how long did it take him to complete the trip? Is this a reasonable time?

. (a) Draw an accurate graph of the speed versus time for the train Problem 24. (b) Draw an accurate graph of the distance versus time for the train in Problem 24.

Unreasonable results A dolphin in an aquatic show jumps straight up out of the water at a velocity of 15.0 m/s. (a) List the knowns in this problem. (b) How high does his body rise above the water? To solve this part, first note that the final velocity is now a known, and identify its value. Then, identify the unknown and discuss how you chose the appropriate equation to solve for ft. After choosing the equation, show your steps in solving for the unknown, checking units, and discuss whether the answer is reasonable. (c) How long a time is the dolphin in the air? Neglect any effects resulting from his size or orientation.