As a runaway scientific balloon ascends at 19.6 m/s, one of its instrument packages breaks free of a harness and free-falls. The figure below gives the vertical velocity of the package versus time, from before it breaks free to when it reaches the ground. I (s) (a) What maximum height above the break-free point does it rise? (b) How high is the break-free point above the ground? m

At what speed must a basketball player leave the ground to rise 1.1 m above the floor in an attempt to get the ball?

The first active volcano observed outside the earth was discovered in 1970 on Io, one of the moons of jupiter. The volcano was observed ejecting material to the height of about 3x105m. Given the acceleration of gravity on Io is 1.8 m/s2. Find: a. The initial velocity of the ejected material. b. What is the velocity at half that height?

The initial speed of a ball thrown straight upward is 17.3 m/s, and then it is caught at the same distance above the ground. How high does the ball rise? How long does the ball remain in the air?

A bb is shot downward from the top of a building leaving the barrel with an initial speed of 90.3 m/s downward. The top of the building is 60.1 m above the ground. How much time elapses between the instant it leaves the barrel and the instant of impact with the ground? Round your answer to 3 decimal places.

A basketball referee tosses the ball straight up for the starting tip-off. What is the minimum velocity that the basketball player must jump in order to rise 1.50 m above the floor and reach the ball?

A projectile is fired from point A at the edge of a cliff, whose initial velocity components are v0x = 60.0m / s and v0y = 175m / s. The projectile rises and then falls into the sea at point P. The projectile flight time is 40.0s and it does not experience appreciable air resistance in flight. a) Make a diagram of the problem, b) Determine how far it falls, c) what is the height of the cliff? and d) at what angle was it shot?

A rock is thrown straight downward near the Earth’s surface with initial velocity of 20m/s down.  Assuming it doesn’t reach the ground, after 4 seconds its speed will be about

NASA has fired a rocket straight up into the air from ground level with an unknown initial velocity. It reaches a maximum height of 164,000 feet. This happened in Cape Canaveral therefore the rocket is under the acceleration of Earth's gavity in which we all know is -32 ft/sec/sec.                                           Please round your answers to two decimal places. a). Find the time it takes for the rocket to reach maximum height. b). find the initial velocity necessary to reach that height.

A ball is thrown upward from the ground with velocity vi= 14 m/s and reaches height of h above the ground before falling back down. Take the upward direction to be positive. Refer to the figure. Neglect Air resistance. The acceleration in m/s to the ball when it is in the air is -9.8 m/s. The velocity of the ball in meters sped second, when it reaches the top of its trajectory is 0 m/s. Enter an expression for the maximum height, h, the ball reached in terms of vf, vi, and a. The value of h in meters is 10 m. Enter an expression for the time it takes for the ball to travel from the ground to the top, delta t, in terms of vi, vf, and a. The value of delta t in seconds is 10s. The total displacement in meters, of the ball going through its entire motion: reveling from the ground to the tio and then falling back to the ground is 0m. Enter an expression for the total time of flight of the ball: the time from when it is launched to when it lands back in the ground. Express this in terms of…