A projectile is launched from level ground with initial speed at an angle above the…
PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane
Problem
A projectile is launched from level ground with initial speed v at an angle θ above the horizontal. It lands on level ground at the same height from which it was launched. Ignore air resistance.
(a) Write an expression for the horizontal displacement of the projectile in terms of v, θ, and the total flight time t.
(b) Write an expression for the vertical displacement of the projectile over the entire flight, and use it to obtain a relationship between v, θ, t, and g.
(c) Eliminate t to derive an expression for the horizontal range R of the projectile in terms of v, θ, and g.
(d) Determine the value of θ that maximizes R, and state the maximum possible range in symbolic form.
(e) For v=25m/s, calculate the maximum horizontal range the projectile can achieve on level ground.