1) (4 points) If F'(4) = (ie win’ tcos? (7 +4) ) and 7(0) =(0,0,0), determine 7(r)

1) (4 points) If F'(4) = (ie win’ tcos? (7 +4) ) and 7(0) =(0,0,0), determine 7(r).
: x
2) (3 points) Determine the curvature of the helix r(t) = Qcost,3sint, 41) at f= 3 .
3) (3 points) A cannonball is launched from the top of a cliff that is 250 feet high. The projectile has an
initial speed of 120 feet per second at an angle of 68° above the horizontal. Determine one of the
following quantities; for extra credit, determine both.
a) The height of the projectile relative to the ground when its height is a maximum.
b) The horizontal displacement of the projectile from the starting point when it hits the ground.
Use 32 feet per second squared as the acceleration due to gravity.