Velocity and Acceleration

A projectile is launched from point A with an initial velocity v0 of 120 ft/s at an angle q from the vertical. Determine (a) the distance d to the farthest point on the hill that the projectile can reach, (b) the corresponding angle q, (c) maximum height of the projectile above the surface. I began the problem by forming equations. I came up with from for x and y. dcos(30)= (v0)(sinq)t (x equation - x=(v0x)t + x0 dsin(30)=(v0)(cosq)t - 0.5(32.2)t^2 (y equation) - y=(v0y)t - 0.5at^2 I now have 2 equations and 3 unknowns. I wasn't for sure what other equation I could derive from the given information.

Polar coordinate problem

After taking off, a helicopter climbs in a straight line at a constant angle B. Its flight is tracked by radar from point A. Determine the speed of the helicopter in terms of d, B, p and p dot. I know that in polar coordinates: v=r(p dot) I know I need to get r in terms of d, B, p and p dot. I have been trying different geometry techniques but can't seem to get the answer. The answer is supposed to be: [(p dot)d(sinB)] / [(sin^2(B-p)]

Work and Energy Problem

The problem gives a block being pushed up an inclined surface and asks a) to find how much work is done by the forces acting on the object as it slides 3ft up the smooth surface, and b) by using the principle of work determine the magnitude of the objects velocity as it slides up ramp 3ft, when given an angle, a force, and a weight. The GIVEN FORCE is 78lbs, the angle is 20 degrees, objects weight 100 lbs, smooth surface and a constant force.

Rolling mass, attached at center to bar with mass which is sliding on vertical collar at other end

The system consists of a 20lb disk A, a 4 lb slender rod BC and a 1 lb smooth collar C. If the disk rolls without slipping determine the velocity of the collar at the instant theta = 30 degrees using method of work and energy. The system is released from rest then theta = 45 degrees... disk has radius of 0.8 feet, B is center of disk, bar raises up and to the right where it attaches to the sliding collar at point C. Rod is 3 feet long /| like this and collar slides down. theta is between ground and the rod /_ / | O | Problem 2 Determine the angular velocity and the angular acceleration of the plate CD of crushing machine at the instant AB is horizontal. At thi... click for more

A pitching wedge a golfer is using gives the ball a initial angle of 50 degrees, what range of velocities (Vo) will cause the ball to land within 3 ft of the hole?

A pitching wedge a golfer is using gives the ball a initial angle of 50 degrees, what range of velocities (Vo) will cause the ball to land within 3 ft of the hole? ( the hole is 30 ft from golfer) Assume that the hole lies on the plane of the ball's trajectory. I need help setting this problem up to start.