You are hiking in the rocky canyon lands of Utah and eventually realize you are lost. You climb up to stand on one of the tall rocks and shoot a flaming arrow into the air to signal your distress. You shoot the arrow with an initial speed of 30.0 m/s at an angle of 60.0° above the horizontal. The arrow hits the ground 7.50 seconds later. (Neglect air resistance.) (a) What maximum height does the arrow reach above its launch point? (b) Relative to the launch point, where does the projectile land? Give your answer in Cartesian (x,y) coordinates as well as polar (r,0) coordinates.

A student launches a small rocket which starts from rest at ground level. At a height h=1.04km, the rocket reaches a speed of vf=391m/s. At that height, the rocket runs out of fuel, so there is no longer any thrust propelling it. After the rocket's engine turns off at a height of h=1.04km, it continues to move upward due to the velocity that it reached. What is the rocket's acceleration, in meters per squared second, during the period from engine shutoff until it returns to the ground? Ignore air resistance.

A particle starts from the origin at r=0 with a velocity of 8.0 m/s and moves in the xy plane with constant acceleration (3.5i +1.7)) m/s1. (a) When the particle's x coordinate is 27 m, what is its y coordinate? (b) When the particle's x coordinate is 27 r. what is its speed? m/s

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. -

Before jumping from the bridge, Martin throws his water bottle to a friend standing on the bank of the lake. The bridge is 7.0 m high. The friend is standing on the bank 15.0 m from the base of the bridge with their hand 1.0m above the ground. What speed must Martin throw the bottle horizontally for it to reach his friend's hand?

A small lead ball, attached to a 1.45-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 1.7 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise?

A ball is thrown vertically upward with an initial speed of 88 ft/sec from the base A of a cliff with H = 60 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vg. Neglect air resistance and the small horizontal motion of the ball. Answers: h = i ft t = i sec VB = i ft/sec

a skateboarder moving at 5.90 m/s along a horizontal section of a track that is slanted upward by θ = 46.0° above the horizontal at its end, which is 0.790 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track.

A diver jumps off a cliff of h at an angle of 0 =38° (see figure below). He reaches a maximum height of hmaz x = 42m from the base of the cliff. Determine the speed of the diver just before he hits the water, = 3m above the top of the cliff before falling to the water below. He hits the water VA =?.Express your answer in units of m/s. Take g 9.80m/s2. Round your answer to zero decimal places. Jrmax Answer:

On level ground a shell is fired with an initial velocity of40.0 m/s at 60.0° above the horizontal and feels no appreciable air resistance. How long does it take the shell to reach its highest point?