Question

A hunter observes a bird on a tree $58.56$ metre high and at a distance of $80$ metre. With what velocity should the hunter shoot an arrow at an angle of ${60}^{\circ }$ with the horizontal so that it may hit the bird? $(g=10m/se{c}^2)$.

• A. $24m/s$
• B. $29m/s$
• C. $50m/s$
• D. $40m/s$

Answer 1

The correct option is D $40m/s$

$x=80m$

$y=58.56m$

$\theta ={60}^{\circ }$

$u=\sqrt{\frac{x^{2}g}{xsin2\theta -2gco{s}^2\theta }}$

$u=40m/s$