I am having trouble on a 3 d motion question. The question is as follows, "A skateboarder starts up a 110 cm high, 31 degree ramp at a speed of 7.12 m/s. The skateboard wheels rolls without friction. How far from the end of the ramp, does the skateboarder touch down?". Thanks for the help

A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center.   (A)What is the initial angular momentum, LJ, of John? (B)What is the total initial angular momentum of the system? (C)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?

A 0.24 m radius grinding wheel takes 5.8 s to speed up from 2.6 rad/s to 5.9 rad/s. What is the wheel’s average angular acceleration?

A 0.37 m radius grinding wheel takes 6.1 s to speed up from 2.9 rad/s to 6.8 rad/s. What is the wheel's average angular acceleration?

A carnival ride starts at rest and is accelerated from an initial angle of zero to a final angle of 6.3 rad by a counterclockwise angular acceleration of 2.0 rad/s?. What is the angular velocity at 6.3 rad?

A centrifuge in a medical laboratory rotates at an angular velocity of 3600 rev/min. When switched off, it rotates through 50.0 complete before coming to rest. what was the magnitude of the angular acceleratiom of the centrifuge as it slow down?

A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center. A)What is the rotational inertia of the merry-go-round (consider it a disk)? B)What is the initial rotational inertia of John (consider him a point mass). C)What is the initial angular momentum, Lmgr, of the merry-go-round? (D)What is the initial angular momentum, LJ, of John? (E)What is the total initial angular momentum of the system? (F)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?

A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular acceleration.After 18 s, the wheels have made 76 rev. What is the angular velocity of the wheels after 18 s in rad/s ? What is the angular acceleration of the wheels in rad/s2 ?If the radius of the wheel is 32 cm, and the wheel rolls without slipping, how far has the cyclist (in m) traveled in 18 s?

A 25.0 cm radius wheel rolls from rest up to a speed of 6.00 m/s while traveling a distance of 10.0 m. How many rotations does the wheel go through during this motion? What was is angular acceleration during this motion?

The turntable of a record player has an angular velocity of 8.0 rad/s when it is turned off. Theturntable comes to rest 2.5 s after being turned off. Through how many radians does the turntablerotate after being turned off? Assume constant angular acceleration.