A golf ball leaves the tee with a velocity of 30.0 m/s at an angle of 37° to the horizontal.  (a) What is the maximum height reached by the ball? (b) At what time does the ball reach this height?

You are on a new planet and want to know the acceleration due to gravity. You take a ball and kick it at an angle of 18.0° at a speed of 24.7 m/s. If the ball is in the air for 5.90 s, what is the magnitude of the acceleration due to gravity?

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo= 13.0 m/s. The cliff is h = 47.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? Xo = Yo= (b) What are the components of the initial velocity? Vox m/s m/s Voy Vx= (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) = m m X= (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) y =

A 10-kg ball is launched at ground level with an initial speed v0 = 29 m/s, at an angle θ = 23°  with the horizontal. Air resistance is negligible. How far from the launching point does the ball touch the ground again, in m? This distance is called the range of the motion.

A rock is thrown horizontally with a speed of 20 m/ s from a vertical cliff of height 25 m. (a) Draw a sketch showing initial velocity of rock and vertical and horizontal displacement.  (b) What are x and y components of initial velocity?  (c) What are x and y components of acceleration?  (d) How long does it take the rock to reach the horizontal ground below?  (e) How far will it land from the base of the cliff?

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A horizontal projectile is shot with an initial velocity of 17.9 m/s from a height of 2.59 m above the ground. Neglecting air-resistance, what is the magnitude of the final velocity (m/s)