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A projectile is projected at an angle (a>45) with an initial velocity u.The time t ,at which its magnitude of horizontal velocity will equal the magnitude of vertical velocity is:

A projectile is projected at an angle (a>45) with an initial velocity u.The time t ,at which its magnitude of horizontal velocity will equal the magnitude of vertical velocity is:

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
let the angle tbe theta,
then at any time t,
in x โ€“ direcn.
Vx = ucos(theta)
in y-direcn.
Vy = usin(theta) โ€“ gt
Now Vx = Vy (given thhen,
usin(theta) โ€“ gt = ucos(theta)
u(sin(theta) โ€“ cos(theta)) = gt
t = [u(sin(theta) โ€“ cos(theta))]/g
theta = a {given}
t = [u(sin(a) โ€“ cos(a))]/g
ย 
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