You push a box at a constant speed of 5m/s and let it go. It stops 1.5s later due to the force of friction. If you push the box at a speed of 12m/s, how long will it take to stop?

Respuesta :

Answer:

the time taken for the box to stop is 3.6 s.

Explanation:

Given;

initial speed with which the box was pushed, u = 5 m/s

time taken for the box to stop, t = 1.5 s

Assuming the box is moving at constant acceleration, a;

[tex]a = \frac{u}{t} \\\\a = \frac{5}{1.5} \\\\a = 3.33 \ m/s[/tex]

When the box is pushed a speed of 12 m/s, the time taken for the box to stop is calculated as;

[tex]t = \frac{v}{a} \\\\t = \frac{12}{3.33} \\\\t = 3.6 \ s[/tex]

Therefore, the time taken for the box to stop is 3.6 s.