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A projectile is fired with a speed u at ...

A projectile is fired with a speed u at an angle `theta` with the horizontal. Find its speed when its direction of motion makes an angle `alpha` with the horizontal.

Text Solution

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The horizontal component of the velocity will be constant during the projectile motion.
Horizontal component of the initial velocity, `u_x = v_0 cos theta_0`.
Horizontal component of the velocity when the particle makes an angle `theta` with horizontal, `v_x = v cos theta`.
Hence, `v cos theta = v_0 cos theta_0 rArr = (v_0 cos theta_0)/(cos theta)`
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