Question

Suppose that the ground is a hard flat surface which lies on the plane 2x + 3y − 24z = 6. A rubber ball is launched from the origin with an initial velocity vector of v0 = h7, 5, 15i (in m/s). Assume that gravity is causing the ball to accelerate downwards at a constant rate of 9.8 m/s2 . v=7i+5j-12.73k

e) Calculate the vector the photon will be traveling along after it reflects.

f) Find a vector function for the path of the ball after it bounces off the ground (which incorporates that the ball hits the ground at the point (x0, y0) at t = t0 from part (b)).

g) Calculate the next point on the plane where the ball will bounce.

Answer 1