Answer the following:

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Answer the following: (i) Derive an expression for the slope

\dfrac{dy}{dx}

of the trajectory of a projectile in terms of

x

v_0

\theta_0

and

g

. (ii) Hence calculate the slope at the point where a projectile launched with

v_0 = 40\,\text{m s}^{-1}

\theta_0 = 45^{\circ}

has travelled horizontally

20\,\text{m}

. Take

g = 9.8\,\text{m s}^{-2}