WAEC Physics 2023 Paper

Concept:For uniform acceleration from rest, distance is proportional to acceleration when the time is the same.Explanation:Both objects start from rest, so initial velocity $u = 0$.For uniform acceleration, the distance travelled in time $t$ is:$$s = \frac{1}{2}at^2$$Given that B accelerates twice as much as A:$$a_B = 2a_A$$For the same time interval, the ratio of distances is:$$\frac{s_B}{s_A} = \frac{\frac{1}{2}a_Bt^2}{\frac{1}{2}a_At^2} = \frac{a_B}{a_A} = 2$$So B travels twice as far as A in the same time.Answer:C. two times as far