A car is moving at 30 ft/sec when the brakes are applied. It decelerates at a constant rate of 5 ft/sec2 until it stops. If t = 0 represents the time at which the brakes are applied, how far will it go before stopping?

Respuesta :

Answer:

The distance traveled by car before stopping is [tex]90\, ft[/tex]

Explanation:

Given

Initial speed of car [tex]u=30\, \frac{ft}{sec}[/tex]

Final speed of the car [tex]v=0\, \frac{ft}{sec}[/tex]

Acceleration of the car [tex]a=-5\, \frac{ft}{sec^{2}}[/tex]

Let distance traveled before stopping be s

Using equation of motion

[tex]v^{2}=u^{2}+2as[/tex]

=>[tex]0^{2}=30^{2}+2\times (-5)\times s[/tex]

=>[tex]s=90\, ft[/tex]

Thus the distance traveled by car before stopping is [tex]90\, ft[/tex]