Suppose your car accelerates from rest to 9 m/s in 2 s. assume that the acceleration is constant in this time interval. a. what is the acceleration of your car? express your answer in m/s 2 . b. how far will you travel in 2 s? express your answer in meters.

Answer :

(a) The acceleration of the car is,

(b) The distance covered by the car is, 9 m

Explanation :  

By the 1st equation of motion,

...........(1)

where,

v = final velocity = 9 m/s

u = initial velocity  = 0 m/s

t = time = 2 s

a = acceleration of the car = ?

Now put all the given values in the above equation 1, we get:

The acceleration of the car is,

By the 2nd equation of motion,

...........(2)

where,

s = distance covered by the car = ?

u = initial velocity  = 0 m/s

t = time = 2 s

a = acceleration  of the car =

Now put all the given values in the above equation 2, we get:

By solving the term, we get:

The distance covered by the car is, 9 m

when the velocity of a mass on a spring is zero, the acceleration is at a maximum .

the entire statement is true and correct.  

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