A car traveling at a speed of 30.0 m/s encounters an emergency and comes to a complete stop. How much time will it take for the car to stop if it accelerates at -4.0 m/s 2 ?

Question

asked Dec 21, 2024 173k views

1 Answer

Mat Jones · Answer 1 · 2024-12-26T18:23:51+0000

The car will take 7.5 seconds to stop with an acceleration of -4.0 m/s².

To determine the time it takes for the car to stop, we can use the equation:

vf = vi + at

Where:

vf is the final velocity (which is 0 m/s since the car comes to a complete stop)
vi is the initial velocity (which is 30.0 m/s)
a is the acceleration (which is -4.0 m/s²)
t is the time

Substituting the given values into the equation, we have:

0 m/s = 30.0 m/s + (-4.0 m/s²) * t

Simplifying the equation:

-30.0 m/s = -4.0 m/s² * t

Dividing both sides of the equation by -4.0 m/s², we get:

t = 7.5 s

Therefore, it will take the car 7.5 seconds to come to a complete stop with an acceleration of -4.0 m/s².