A skier starts from rest from a height of 20 m and skis down the slope into a valley and back up a slope of 12 m high with respect to the valley. What speed does the skier have the moment he reaches the height of 12 m?

A stone is thown from the top edge of a cliff with an initial speed of V0 = 15 m/s . The stone takes 3 seconds to each the bottom. What is the height of the cliff. (air resistance is negligible).

An attacker at the base of a castle wall 3.55 m high throws a rock straight up with speed 8.30 m/s from a height of 1.60 m above the ground. (a) Will the rock reach the top of the wall? Yes O No (b) If so, what is its speed at the top? If not, what initial speed must it have to reach the top? m/s (c) Find the change in speed of a rock thrown straight down from the top of the wall at an initial speed of 8.30 m/s and moving between the same two points. m/s (d) Does the change in speed of the downward-moving rock agree with the magnitude of the speed change of the rock moving upward between the same elevations? O Yes No (e) Explain physically why it does or does not agree.

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

Two snowy peaks are at heights H = 800 m and h = 740 m above the valley between them. A ski run extends between the peaks, with a total length of 2.91 km and an average slope of 0 = 32° (see the figure). (a) A skier starts from rest at the top of the higher peak. At what speed will he arrive at the top of the lower peak if he coasts without using ski poles? Ignore friction. (b) Approximately what coefficient of kinetic friction between snow and skis would make him stop just at the top of the lower peak? (a) Number i (b) Number i h 0 Units Units 0 H ←

Omar throws a rock down with speed 8.5 m/s from the top of a tower. The rock hits the ground after 5.4 s. What is the height of the tower? (air resistance is negligible)

You toss a stone straight up and it comes back down in a total time of 6 s, what is the speed of the stone when it comes back to the same hight from where you tossed it. Ignore air resistance. 100 m/s 20 m/s 10 m/s 30 m/s

A ball is thrown straight up with initial speed 15.0 m/s and rises 11.5 m above the release point before returning to Earth. What initial velocity is required to make the ball rise twice as high? Ignore any effects due to air resistance.

Chris and Steve push a huge boulder (m = 65 kg) to the top of an 18 m cliff. The boulder is moving with a speed of 6.0 m/s when it tumbles over the edge of the cliff. How fast will it be going when it hits the ground? (no air resistance)

A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d = 2.67m, and x and y are measured in meters as usual.  Suppose the block starts on the track at x = 0. What minimum initial velocity (moving to the right) must the block have such that it will leave the track at x = 0 and go into freefall?     7.24 m/s     5.12 m/s     9.89 m/s     9.01 m/s