Question

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 ?

Answer 1

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

Step-by-step explanation:

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.