A projectile is fired at an angle of 45° and reaches the highest point in its path after 2√2 s . Find the velocity of projectile in m s -1 ,

Question

A projectile is fired at an angle of 45° and reaches the highest point in its path after 2√2 s . Find the velocity of projectile in m s -1 , (A)  19.6  (B)  39.2  (C)  9.8  (D)  4.9

Tardigrade Admin · Accepted Answer

Given: Time taken to reach highest point, t=2√2s Angle of projection, θ=45° Let u be the speed of projection ∴ t=(u sin θ/g) or u=(gt/sin θ) or u=(2√2×9.8/(1)√2) =39.2 m s-1

Q. A projectile is fired at an angle of $4 5^{\circ}$ and reaches the highest point in its path after $22 s$ . Find the velocity of projectile in $m s^{- 1}$ ,

$19.6$

$39.2$

$9.8$

$4.9$

Given : Time taken to reach highest point,
$t = 22 s$
Angle of projection, $θ = 4 5^{\circ}$
Let $u$ be the speed of projection
$∴ t = \frac{u s in θ}{g}$ or $u = \frac{g t}{s in θ}$
or $u = \frac{2 2 \times 9.8}{\frac{1}{2}}$
$= 39.2 m s^{- 1}$

Q. A projectile is fired at an angle of 45∘ and reaches the highest point in its path after 22​s . Find the velocity of projectile in ms−1 ,

19.6

39.2

9.8

4.9