Acar initially traveling at a speed of 16 meters per second accelerates uniformly to a speed of 20 meters per second over a distance of 36 meters. what is the magnitude of the car's acceleration?

The formula for calculating acceleration can be derived from:

v^2 = v0^2 + 2 a d

where a is acceleration, v is final velocity, v0 is initial velocity and d is distance

Rewriting in terms of a:

a = (v^2 – v0^2) / 2 d

a = (20^2 – 16^2) / (2 * 36)

a = 2 m/s^2 

The magnitude of the car's acceleration is

Step by Step Solution :

Given :

Final Speed, v = 20 m/sec

Initial Speed, u = 16 m/sec

Distance Covered, s = 36 m

Calculation :

We know that,

--- (1)

Now from equation (1),

The magnitude of the car's acceleration is

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grav potential energy