A body accelerates from rest at the rate of 5.0 m s\(^{-2}\). Calculate the time taken to cover the distance of 160.0 m
A
4.0 s
B
32.0 s
C
8.0 s
D
16.0 s
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
u = o, a = 5m/s2, d = 160.0m
s = ut + \(\frac{1}{2}\)at\(^2\)
16 = 0 x t + \(\frac{1}{2}\) x 5 x t\(^2\)
320 = 5t\(^2\)
t\(^2\) = \(\frac{320}{5}\) = 64
t = \(\sqrt{64}\) = 8.0s
Source: WAEC / JAMB / NECO Classroom Archive (Record #78252)