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 \(\frac{2uSin\theta}{g}\), where g is the acceleration of free fall.
Explanation
SEE DIAGRAM ABOVE
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 = \(\frac{2Usin \theta}{g}\)