Acar brakes from 16m/s to 1.0m/s in 2.0s. what is the car's acceleration?

We're given the velocity at two points, and the time between the mentioned two points.

What we'll be calculating is the average acceleration (not to be confused with instantaneous acceleration).

Given two points, lets call them initial and final, the average acceleration is calculated as:



In which  is the final velocity (in your problem equal to 1m/s), is the initial velocity (in your problem equal to 16 m/s), and  the time between two points  (in your problem equal to 2s).

So, we plug-in our known values:



The answer is -7.5m/s^2.

a) the answer is t=4 seconds

b) acceleration is zero

c) displacement= 142 m

Explanation:

Given the position of the particle

a) the time required when velocity

now we solve for time

b) acceleration when

acceleration is the time derivative of velocity i.e

c) the net displacement of the particle during the interval t = 1 s to t = 4 s is