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A car comes to a sudden stop by applying the brake. It accelerates the uniformly at - 4.1m/s^2 and it slows from 9 m/s to 0 m/s. Find the time interval of the acceleration of the car.

2 Answers

3 votes

Final answer:

The time interval of the acceleration of the car is approximately 2.195 seconds.

Step-by-step explanation:

The car comes to a stop by applying the brakes. Given that it accelerates uniformly at -4.1 m/s² and slows from 9 m/s to 0 m/s, we can find the time interval of the acceleration by using the formula:

v = u + at

Where,

v = final velocity

u = initial velocity

a = acceleration

t = time interval

First, let's find the time interval of the first acceleration:

0 = 9 + (-4.1)t

Solving for t:

t = 9/4.1 ≈ 2.195 seconds

Therefore, the time interval of the first acceleration is approximately 2.195 seconds.

User Januw A
by
5.0k points
4 votes

Answer:

2.25 seconds

Step-by-step explanation:

Change in Acceleration = change in velocity / time interval

time interval = change in velocity / change in acceleration

= (9 - 0) / (0 - -4) = 9/4

= 2.25 seconds

User Damonholden
by
4.9k points