A projectile is launched from the origin with speed making an angle with the horizontal
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A projectile is launched from the origin with speed v0 making an angle θ0 with the horizontal. Ignore air resistance and take the downward acceleration to be g.
(i) Obtain expressions for the horizontal and vertical components of velocity as functions of time t.
(ii) Hence show that the angle ϕ made by the velocity vector with the horizontal at time t satisfies tanϕ=tanθ0−v0cosθ0gt.
(iii) Using the result of part (ii), find the time after launch when the projectile is moving horizontally.