A boy stands on a fishing pier and tosses a pebble into a pond. The pebble is thrown from a height of 2.50 m above the water surface with a velocity of 4.50 m/s at an angle of 60.0° above the horizontal. As the pebble strikes the water surface, it immediately slows down to exactly half the speed it had when it struck the water and maintains that speed while in the water. After the pebble enters the water, it moves in a straight line in the direction of the velocity it had when it struck the water. If the pond is 4.60 m deep, how much time elapses (in s) between when the pebble is thrown and when it strikes the bottom of the pond?

A rocket is launched at an angle of 59.0° above the horizontal with an initial speed of 96 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 28.0 m/s². At this time, its engines fail and the rocket proceeds to move as a projectile. (a) Find the maximum altitude reached by the rocket. m (b) Find its total time of flight. S (c) Find its horizontal range.

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo = 23.0 m/s. The cliff is h = 61.0 m above a flat, horizontal beach as shown in the figure. h (a) What are the coordinates of the initial position of the stone? X0 = m Yo = (b) What are the components of the initial velocity? 0x m/s Voy* 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? S (f) With what speed and angle of impact does the stone land? m/s ° below the horizontal

A cannon ball is fired with an initial speed of 123 m/s at an angle of 60 degrees from the horizontal.Express the initial velocity as a linear combination of its unit vector components.Find the maximum height reached by the cannon ball and the time needed to reach the maximum height.Find the speed of the cannon ball at the maximum height and the magnitude of its acceleration.