Work each of the following problems in your homework notebook, showing all work

Question

Work each of the following problems in your homework notebook, showing all work to receive full credit. Each question will be scored on a 0, 1, 2 scale for a total homework grade of 10 points. Two cyclists are competing in a 20.0 km time trial. The first cyclist rides at a speed of 32.0 km/hr and the second rides at a speed of 40.0 km/hr. How much time does the faster cyclist beat the slower cyclist by? Give your answer in seconds. (450 s) A fan cart is given an initial velocity of 3 m/s from a starting position of 0.50 m. using the velocity-time graph for the motion of the cart shown below, answer the following questions What is the cart's position at 2 s, 3 s and 4 s? (4.5 m, 5 m, 4.5 m) What is the cart's acceleration? (-1 m/s/s) Does the cart ever reverse direction? If so, how do you know and at what time and position? (Yes)

Explanation / Answer

1. time taken = distance / speed

for fast cyclist: t1 = 20 / 40 = 0.5 hr

for slow cyclist: t2 = 20 / 32 = 0.625 hr

time diff = t2- t1 = 0.125 hr

t(in sec) = 0.125 x 3600 = 450 sec

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