A projectile is launched from ground level with initial speed making an angle with…
PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A projectile is launched from ground level with initial speed u making an angle θ with the horizontal. Its vertical component of velocity at any time t is given by vy=usinθ−gt.
(i) Derive the time t1 during ascent when the vertical velocity becomes one–half of its initial vertical component.
(ii) Calculate the height h1 of the projectile above the ground at this instant in terms of u, θ and g.
(iii) After crossing the highest point, the vertical velocity becomes half of its initial value again, but now directed downward. Derive the corresponding time t2 measured from the instant of projection and obtain the height h2 of the projectile at that instant.
(iv) Prove that h1=h2.