Exam 14: Vector-Valued Functions

Solve the problem. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the objects -A projectile is launched from the origin at an angle of $\alpha$ radians to the horizontal and an initial speed of Find the position function r(t) for this projectile.

Evaluate the integral. -

Compute r''(t). -r(t) = ( 2 cos t)i + ( 4 sin t)j