Amotorcycle that is slowing down uniformly. the motorcycle covers 1 =1000 m in 80 sec⁡. the motorcycle then covers the next 1 =1000 m in 120 sec⁡. calculate (a) the acceleration of the motorcycle and (b) its velocity at the beginning and end of the 2 km trip.

Part a)

acceleration = -0.042 m/s/s

Part b)

initial speed = 14.17 m/s

final speed = 5.77 m/s

Explanation:

Part a)

Let the initial velocity of the motorcycle is

now at the end of 80 s let the speed is

after another 120 s let the speed will be

now we know that

also we know that

also we have

now we can say

also we know

Part b)

now we have

so the starting velocity of the trip is

now speed after t = 200 s is given as

reserve is the answer