A projectile is released with a speed u at an angle (theta) to the horizontal. With…

A projectile is released with a speed u at an angle (theta) to the horizontal. With the aid of a diagram, show that the time of flight is equal to (frac{2uSintheta}{g}), where g is the acceleration of free fall.

Explanation

Vertical component velocity Vy = Usin(theta)

Time to reach maximium height = t

V = USin(theta) — gt

But V at maximum height = O

.-. O = Usin(theta) – gt

Hence, t = (frac{U sin theta}{g}) 

But time for a projectile to reach maximum he is equal to time to return to projection plane

Time of flight T = (frac{2Usin theta}{g})

 

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