Question

An object moving with uniformly accelerated motion moves in a straight line. Its initial velocity is 10 m/s and it travels at total distance of 700 m in 30 s. Compute the object’s (a) acceleration and (b) final velocity.

Answer 1

(a)

$$d=v_0t+\dfrac{1}{2}at^2,$$ $$a=\dfrac{2(d-v_0t)}{t^2}=\dfrac{2\times(700\ m-10\ \dfrac{m}{s}\times30\ s)}{(30\ s)^2}=0.89\ \dfrac{m}{s^2}.$$

(b)

$$v=v_0+at=10\ \dfrac{m}{s}+0.89\ \dfrac{m}{s^2}\times30\ s=36.7\ \dfrac{m}{s}.$$