Question

A stone is projected such that its vertical
and horizontal components of velocity are
equal. The angle of projection is
a}30°
b}45°
C}60°
D}90°​

Answer 1

Answer:

✡ Given ✡

➡ A stone is projected such that its vertical and horizontal components of velocity are equal.

✡ To Find ✡

➡ What is the angle of projection.

✡ Solution ✡

✏ Let the vertical components of velocity be sin$\theta$

✏ Let the horizontal components of velocity be cos$\theta$

▶ According to the question,

$\implies$ sin$\theta$ = cos$\theta$

$\implies$ cos(90° - $\theta$ ) = cos$\theta$

$\implies$ 90° - $\theta$ = $\theta$

$\implies$ 2$\theta$ = 90

$\implies$ $\theta$ = $\dfrac{90}{2}$

$\implies$ $\theta$ = 45°

✍ The angle of projection is 45°