A skier is initially moving at 12.9 m/s on level ground as they approach a hill that is angled upward at 18.1 deg. The skier then slides up the hill over a diagonal distance of 4.7 m (assume a coefficient of friction of 0.1). How fast is the skier moving at the top of the hill?

OK, same sort of track, but now with d = 2.80 m. Now suppose the blocks starts on the track at x = 3.20 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case?     8.47 m/s     5.99 m/s     10.12 m/s     4.83 m/s

A helicopter is delivering food in an emergency situation, where it is difficult to land. The engineer is tasked with determining what heights the package could be dropped without breaking. She knows that if the package strikes the ground faster than the critical speed of 72.0mph, then the package will break. Neglect drag. At what height would the package hit the ground with the critical speed (in given units)? Could the package be safely dropped from a height of 60m?

A student is skateboarding down a ramp that is 6.02 m long and inclined at 22.3° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.98 m/s. Neglect friction and find the speed at the bottom of the ramp.

A man on a motorcycle plans to make a jump off of a ramp. If he leaves the ramp with a speed of 36.0 m/s and has a speed of 33.7 m/s at the top of his trajectory, determine his maximum height (h) (in m) above the end of the ramp. Ignore friction and air resistance.  _______m

You are driving your car on a straight road with a coefficient of friction between the tires and the road of 0.55. A large piece of debris falls in front of your view and you immediate slam on the brakes, leaving a skid mark of 30.5 m (100-feet) long before coming to a stop. A policeman sees your car stopped on the road, looks at the skid mark, and gives you a ticket for traveling over the 13.4 m/s (30 mph) speedlimit. Draw the FBD of the car with complete details.

A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?

An archer shoots an 18.0-gram arrow at a 43.0-gram target on a wall 32.0 m high. If the arrow is shot at a velocity of v0 = 60.0 m/s, what is the speed of the arrow when it reaches the target?

An object is thrown with an initial speed of 15 m/s at an angle of 35.0 degrees above the horizontal from the top of a 30.0-m-tall tower. Assume air resistance is negligible, and g =  9.8 m/s2.  What is the speed of the object as it hits the ground?

You throw a rock of mass 0.750 kg straight up in the air with an initial speed of 20.0 m/s. Throughout the flight of the rock assume there’s a constant air resistance force of magnitude 1.25 N acting on it. The trajectory of the rock is vertically up and down, with no horizontal motion. (a) What is the maximum height reached by the rock?  (b) What is the speed of the rock when it returns to the point of release?