Question

A ball is thrown vertically up from ground with a velocity of $50m{s}^{-1}$. Find the total distance travelled by the ball just before reaching ground.

• A. $250m$
• B. $122.5m$
• C. $117.5m$
• D. $140m$

Answer 1

The correct option is A $250m$

Let the final velocity of the ball on reaching the maximum height be $‘v^{\prime }$. This $v=0$ as the ball will momentarily stop at the highest point.
By third equation of motion.
$v^2-u^2=2as$
$0^2-{50}^2=2(-10)s$
$-2500=20s$
Or, s$=125m$
This is half of the total distance travelled by the ball.
Total distance travelled $=2\times s=250m$