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Answer :
Final answer:
To find the deceleration of the car, we use the kinematic equation ‘v = u + at’ and solve for ‘a’. With the given values, the deceleration is calculated to be 5 m/s², which indicates the car is slowing down.
Explanation:
To calculate the deceleration of the car, we can use the following kinematic equation:
v = u + at
where v is the final velocity (0 m/s, since the car comes to rest), u is the initial velocity (20 m/s), a is the acceleration (deceleration in this case, which is what we want to find), and t is the time taken for the car to come to stop (4 s).
Rearrange the equation to solve for acceleration:
a = (v - u) / t
Substitute the known values:
a = (0 m/s - 20 m/s) / 4 s
a = -20 m/s / 4 s
a = -5 m/s²
The negative sign indicates that the acceleration is in the opposite direction to the motion of the car, hence it is a deceleration. So, the deceleration of the car is 5 m/s².
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