Question

If acceleration of a body starting from the rest is 0.5m/s^2 how long will it take the body to travel 400m(if u are genius answer this)​

Answer 1

Answer:

10s

Explanation:

Classic accelerated motion question. The formula giving us the distance traveled given intial speed and time taken is:

$\Delta x = v_0\Delta t +\frac12 a (\Delta t)^2$

We know the acceleration, we know the initial speed (it was at rest, so it's zero), let's replace and solve:

$400 = 0 \Delta t + \frac 12 (0.5) (\Delta t)^2 \rightarrow 100 = (\Delta t)^2\\\Delta t = 10s$