In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what was called a fastball special. Suppose Colossus throws Wolverine at an angle of 0 = 24.7° with respect to the ground (see figure below). Wolverine is d = 2.17 m above the ground when he is released, and he leaves Colossus's hands with speed of v, 23.7 m/s. (a) Using conservation of energy and the components of the initial velocity, find the maximum height attained by Wolverine during the flight. m (b) Using conservation of energy, what is Wolverine's speed the instant before he hits the ground? m/s

You drop a 2.20 kg book to a friend who stands on the ground at distance D = 15.0 m below. Your friend's outstretched hands are at distance d = 1.30 m above the ground (see the figure). (a) What is the speed of the book when it reaches her hands? (b) If we substituted a second book with twice the mass, what would its speed be when it reaches her hands? (c) If, instead, the book were thrown down with initial speed 6.80 m/s, what would be the answer to (a)? (a) Number i Units (b) Number i Units (c) Number i Units

Keep the track tilted at 7∘∘ with the horizontal, at let the cart roll downwards. The length of the track is 75 cm. Starting from zero speed at the top of the track, what will be the speed of the cart as it reaches the bottom? Write your answer in m/s, and ignore friction. Mass of the cart = 250 grams.

A ball is launched directly upwards from the ground. At max height, the ball has a gravitational potential energy of 200 J. If the ball the ball has a mass of 4 kg, then what was the initial velocity of the ball? Report your answer in units of meters per second (m/s) but only write down the number part.

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

In 1953, the US Army field-tested the M65 Atomic Cannon, capable of firing a W9 warhead (364 kg) at a velocity of 333 m/s, whereupon it exploded with energy of 15 kilotons of TNT.  A) In the absence of air resistance, what is the optimal angle for firing the shell? Using your answer, how far would the shell travel? Assume the shell was launched and landed at the same height?   B) How long was the shell in the air?   C) What is the velocity (Magnitute and Direction) of the shell at the top of its trajectory?

Two planets of mass 3 x 1025kg are release from rest 2.0 x 1012 m apart.  What is the speed of the planets when they are half this distance apart?

You drop a 1.40 kg book to a friend who stands on the ground at distance D = 12.0 m below. Your friend's outstretched hands are at distance d = 1.30 m above the ground (see the figure). (a) What is the speed of the book when it reaches her hands? (b) If we substituted a second book with twice the mass, what would its speed be when it reaches her hands? (c) If, instead, the book were thrown down with initial speed 5.90 m/s, what would be the answer to (a)? (a) Number i Units (b) Number i Units

A ball of mass m = 6 kg is dropped from a height (hi = 10 m) above the ground. Find the speed of the ball when it is at a height (hf = 4 m) above the ground.