A car is going 7 m/s when it begins to accelerate. Sixty meters further down the road, the car is going 24 m/s. a) What was the acceleration of the car? b) How much time did the change from 7 m/s to 24 m/s take?

acceleration = 4.4 m/s²

time is 3.86 s

Explanation:

given data

initial speed = 7 m/s

final speed = 24 m/s

distance = 60 m

to find out

acceleration and time when change speed change

solution

we will apply here equation of motion for acceleration

v²-u² = 2*a*s ... 1

here v is final speed and u is initial speed and s is distance and a is acceleration

put here all these value

24²-7² = 2*a*60

so

a = 4.4

acceleration = 4.4 m/s²

and

now find time by equation of motion

v = u + at

put her value

24 = 7 + 4.4 (t)

t = 3.86

so time is 3.86 s