Question

A initial velocity 6.0 m/s East accelerates at 4.0 m/s^2 east. How long will it take the motorcycle to reach the final velocity

Answer 1

Let the final velocity be $v_f$. Then, by definition, the acceleration is:

$$a = \dfrac{v_f-v_i}{t}$$

where $v_i = 6m/s$ and $t$ is a time taken to reach the final velocity. Thus, obtain:

$$t = \dfrac{v_f-v_i}{a}\\ t = \dfrac{v_f-6}{4}\space [s]$$

Substituting any $v_f$ (in m/s) into this formula, obtain the time in seconds.

Answer. $t = \dfrac{v_f-6}{4}\space [s].$