Question

How long will it take an object to accelerate from a velocity of 4.8 m/s to a velocity of 15.6 m/s if it is accelerating at a rate of 0.9 m/s2

Answer 1

Initial velocity of the object (u) = 4.8 m/s

Final velocity of the object (v) = 15.6 m/s

Acceleration of the object (a) = 0.9 m/s²

By using equation of motion, we get:

$\bf \longrightarrow v = u + at \\ \\ \rm \longrightarrow 15.6 = 4.8 + 0.9t \\ \\ \rm \longrightarrow 15.6 - 4.8 = 4.8 - 4.8 + 0.9t \\ \\ \rm \longrightarrow 10.8 = 0.9t \\ \\ \rm \longrightarrow 0.9t = 10.8 \\ \\ \rm \longrightarrow \dfrac{0.9}{0.9} t = \dfrac{10.8}{0.9} \\ \\ \rm \longrightarrow t = 12 \: s$

$\therefore$ Time taken by the object (t) = 12 s