A motorcycle ± A Motorcycle Catches a Car Part A A motorcycle is following a car

Question

A motorcycle

± A Motorcycle Catches a Car Part A A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 18.5 m/s, and the distance between them is 60.0 m After t 5.00 s, the motorcycle starts to accelerate at a rate of 8.00 m/s2 The motorcycle catches up with the car at some time t2 Which of the graphs (Figure 1) correctly displays the positions of the motorcycle and car as functions of time? C Submit Hints My Answers Give Up Review Part Figure 1 Part B motorcycl xl car. n car How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car? In other words, find t2t Express the time numerically in seconds using three significant figures. car motorcycle motoreycle time time Eime motorcycl car- x(r) car toreycle Submit Hints My Answers Give Up Review Part time time

Explanation / Answer

Part A a

Part B

distance travelled by car = 18.5t

distance travelled by motor cycle = 18.5t + 1/2 x 8t^2

but distance travelled by motor cycle = 18.5t + 4t^2 = 18.5t + 60

so, t = 3.872 s

so answer is 3.87 s

Part C

18.5 x 3.87 + 4 x 3.87^2 = 71.65 + 60= 131.65 m

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