A ball rolls onto the path of your car as you drive down a quiet neighborhood street. to avoid hitting the child that runs to retrieve the ball, you apply your brakes for 1.20 s. the car slows down from 15.0 m/s to 9.00 m/s. the mass of the car is 1290 kg. (b) how far did the car move while braking?

Respuesta :

Since the acceleration of car is uniform so the distance traveled by car while brakes are applied is given by

[tex] d = \frac{v_f + v_i}{2}*t[/tex]

given that

[tex]v_f = 9 m/s[/tex]

[tex]v_i = 15 m/s[/tex]

[tex]t = 1.20 s[/tex]

now plug in all data in above formula

[tex]d = \frac{15 + 9}{2} * 1.2 [/tex]

[tex] d = 14.4 m[/tex]

so car will cover 14.4 m distance while it apply brakes