Calculate the (a) Total Range, (b)Total time of flight and (c) Maximum height reached by the projectile

Question

A projectile was launched with an initial velocity of 4 ms from a height of 8 meters at an angle of 40-

degrees from the horizontal. Calculate the (a) Total Range, (b)Total time of flight and (c) Maximum

height reached by the projectile.

Answer 1

Range = (v₀²/g) * sin(2θ₀)

Max height = v_y0²/(2g) note that it is v_y0 = v₀sin(θ₀)

Time in the air = 2v_y0/g