Question: A projectile is launched at an angle of 45? with the horizontal and with an initial velocity of 64 feet per second. A television camera is located in the plane of the path of the projectile 50 feet behind the launch site (see figure).
(a) Find parametric equations (or a vector function) for the path of the projectile in terms of the parameter t representing time.
(b) Write the angle a that the camera makes with the horizontal in terms of x and y and in terms of t.
(c) Use the results of part (b) to find da/dt.