EXAMPLE 11: A cannon can make a maximum angle of 30° with the horizon. What is the maximum speed of a cannon ball if it must clear a 10-m high obstacle?

A skier, starting from rest, moves from the top of a ramp to the bottom.  If the vertical drop is 3.12 meters, what is the speed in m/s of the skateboarder at the bottom of the ramp. (neglect friction). Can you help with a visual aid; and then, explain the mechanics of calculation.

A man on a motorcycle plans to make a jump as shown in the figure. If he leaves the ramp with a speed of 30.0 m/s and has a speed of 28.4 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. ורו

previous problem:  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 is 3.85 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -1.99 m. What will the block s speed be when it reaches x = 0?   New problem Same type of track as in the previous problem, this time with d = 4.73 m. The block starts at x = 0, and is given a push to the left with an initial speed of 7.57 m/s, so it starts sliding up the track to the left. At what value of x will the block reverse direction and start sliding back down?     -3.72 m     3.72 m     2.92 m     -2.92 m

A man on a motorcycle plans to make a jump as shown in the figure.   If he leaves the ramp with a speed of 28.0 m/s and has a speed of 25.6 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.

A 6 kg object is launched straight up. When it is 100 m high it has a speed of 40 m/s. What is the object's speed when it is 20 m high? Ignore air resistance and use g = 10 m/s/s.

Alissa dropped a ball from a height of 2000 mm. Find out (a) how long it will take to hit the ground and (b) what would be its velocity when it hits the ground? (c) If mass of the ball is 500 g, what would be its kinetic energy when it hits the ground? (d) What would be its potential energy before its fall?

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 is 3.88 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -2.99 m. What will the block s speed be when it reaches x = 0?     6.72 m/s     4.75 m/s     3.33 m/s     9.41 m/s

An object is moving at 3.5 m/s as it rolls up a frictionless hill. How fast will the object be moving when it is 0.5 m above the ground?

A helicopter is dellvering 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 62.0mph, 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 30m? yes no