A helicopter is delivering 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 72.0mph, 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 60m?

A very bored 318 kg bear decides to jump across a stream. The stream is 6 m wide and the east bank of the stream is 1m higher than the west bank (where the bear starts). The bear can jump with an initial velocity vi (4m/s, 4m/s) , and decides to start from 3m in the air, halfway up a sturdy tree. Part 1 If the origin is at the bear's foot (up in the tree), write an equation describing the coordinate of the bear while it is in the air. Use the following table as a reference. Note that it may not be necessary to use every variable. For Use Δt t g g

6. A crazy, young boy on a sled is able to get up to an incredible speed of 22.5 m/s (yes, he is wearing a helmet!) along a frictionless horizontal surface while he approaches an icy hill with a vertical height of 11 m, as shown. He makes it to the top, and then flies off horizontally from the ledge of the hill. How far from the base of the hill does the boy land? 225 mis Figure 1

A ball is suspended from a light 1.3 m string . The string makes an angle of 24 degrees with the vertical. The ball is then kicked up and to the right such that the string remains taut the entire time the ball swings upwards. This kick gives the ball an initial velocity of 1.1m/s. What will be the speed, in meters per second, of the ball when it reaches its lowest point (θ = 0)?  What will be the maximum angle, in degrees, the string will make with the vertical?

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A package is released from a plane which is flying horizontally over flat horizontal ground.After release the package has an initial velocity which is the same as the plane.When the package is released, the plane is a height H above the ground and the speed of the plane is V.If we ignore air resistance, which statement is correct about the time interval between when the package is released and when it hits the ground? It depends only on H and not on V. It does not depend on either H or V.     It depends only on V and not on H. It depends on both H and V. -

A child throws a stone downward from the top of a cliff with a speed of 4m/s. You notice that it took 2 seconds for the stone to hit the ground. What is the height of the cliff? (Start with a function for the acceleration using g ≈ 9.8m/s2 .

A baseball is thrown vertically upward with an initial velocity of 9 m/s. Neglecting air friction, at what height will the baseball be after 5 seconds?

A space shuttle lands on a distant planet where the gravitational acceleration is 2.0 ( We do not know thelocal units of length and time , but they are consistent throughout the problem). The shuttle coasts along aleve, frictionless plane with a speed of 6.0. It then coasts up a frictionless ramp of height 5.0 and angle 0f 30°.After a brief ballistic flight, it lands a distance S from the ramp. Solve for S in local units of length. Assume theshuttle is small compared to the local length unit and that all atmospheric effects are negligible. Use x and y  components.

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