Question

What is the minimum range that a ball thrown with a speed of $40m{s}^{-1}$ can cover without hitting the $25m$ high ceiling of a long hall?

• A. $150.5m$
• B. $100.25m$
• C. $110.3m$
• D. $200.5m$

Answer 1

Answer: (A)

$150.5m$

For the minimum range without the ball hitting the wall we will use the height of the wall as the maximum height of the projectile. Thus we get

$h=\frac{v^{2}si{n}^2\theta }{2g}$

Thus we calculate $\theta ={33.6}^o$s
Now the range is given as

$R=\frac{v^{2}sin2\theta }{g}$
Thus we get R as $150.5m$