A baseball player running forward at 3 meters per second throws a ball with a velocity of 20 meters per second at an angle of 20° with the horizontal. What is the resultant speed and direction of the throw?

A golfer hits an approach shot with a velocity of 38.2 m/s at 50 degrees above the horizontal. The golf ball lands directly next to the hole, 5.50 m above the ball’s original position, and stops immediately. What was the TOTAL final velocity of the golf ball directly before it hit the ground?

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 17.5 m/s. The cliff is h = 32.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? x0     m y0     m (b) What are the components of the initial velocity? v0x     m/s v0y     m/s (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.) vx   vy   (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.) x   y   (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? vf    m/s θ…

A father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 7.59 m/s at an angle of 77.0° above the table. With what speed (in m/s) does the pea strike the ceiling 1.80 m above the table?

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 boy fires an arrow from a height of 1.80 m at an angle of 15° above the horizontal towards a target standing 15.00 m in front of him. He misses the target completely, and the arrow goes flying past the target and hits the ground 21.1 m behind the target.   Determine the initial velocity of the arrow in m/s.

A projectile is launch from ground level at an angle of 30.6 degrees relative to the horizontal. It returns back to the ground after a time of 2.27 s. What was the initial speed of the projectile?