A stone is thrown in such a manner that it would just hit a bird at the top of a tree and afterwards reach a height double that of the tree. If at the moment of throwing the stone, the bird flies away horizontally, show that notwithstanding this, the stone will hit the bird, if is horizontal velocity be to that of the bird as (√2 + 1) : 2.

Against all laws and regulations, a child throws their teddy bear off the top of the CN Tower with a velocity of 11 m/s [53o above horizontal].  If the CN Tower is 550 m tall, and air resistance is ignored, find: The time it takes for the teddy bear to hit the ground.  The horizontal distance travelled by the teddy bear.   The velocity of the teddy bear as it strikes the ground.

A ball is thrown upward at an angle of 300 to the horizontal and lands on the top ofthe edge of a building that is 20 m away. The top edge is 5 m above the throwingpoint. How fast was the ball thrown?

A projectile is fired vertically upward intothe air; its position (in feet) above the ground after t seconds is givenby the function s(t). For the following functions, use limits to determinethe instantaneous velocity of the projectile at t = a seconds for thegiven value of a  s(t)= -16t2 + 128t + 192; a = 2

A projectile is launched with speed v, at an angle e, above the horizon. Its motion is described in terms of position, velocity, and acceleration: x, y, Vy Vy ay ay, respectively. HINT (a) Which of those quantities are constant during the motion? (Select all that apply.) Vy a (b) Which are equal to zero throughout the motion? Ignore any effects of air resistance. (Select all that apply.) JVx Day O O O O O O O O O O O

A ball is kicked with an initial velocity of 11 m/s in the horizontal direction and 14 m/s in the vertical direction. (a) At what speed (in m/s) does the ball hit the ground?

A cannon is placed at the bottom of a cliff61.5 m high. If the cannon is fired straight upward, the cannonballjust reaches the top of the cliff. (a) What is the initial speed of thecannonball? (b) Suppose a second cannon is placed at the top ofthe cliff. This cannon is fired horizontally, giving its cannonballsthe same initial speed found in part (a). Show that the range of thiscannon is the same as the maximum range of the cannon at thebase of the cliff. (Assume the ground at the base of the cliff is level,though the result is valid even if the ground is not level.)

The cannon on a battleship can fire a shell a maximum distance of 24.0 km.(a) Calculate the initial velocity of the shell. m/s(b) What maximum height does it reach? (At its highest, the shell is above a substantial part of the atmosphere--but air resistance is not really negligible as assumed to make this problem easier.) m(c) The ocean is not flat, since the earth is curved. How many meters lower will its surface be 24.0 km from the ship along a horizontal line parallel to the surface at the ship? m Does your answer imply that error introduced by the assumption of a flat earth in projectile motion is significant here? (Select all that apply.) The error is significant compared to the distance of travel.The error could be significant compared to the size of a target.The error is insignificant compared to the distance of travel.The error is insignificant compared to the size of a target.

(2) If two people were standing 30 meters apart and one person threw the ball to the other with a horizontal velocity of 21.5 m/s at a height of 2.0 meters: (a) How much time would the ball spend in the air? (b) Would the ball reach the other person or fall short? (c) If it falls short, by how much did it fall short? If it reaches, how far above the ground would the ball hit the other person?