Question

A baseball pitcher throws a ball at 92.0 mi/h in the horizontal direction


7. 

A baseball pitcher throws a ball at 92.0 mi/h in the horizontal direction. How far does the ball fall vertically by the time it reaches home plate, which is a horizontal distance of 60.5 ft away? (Express your answer in units of feet. Neglect air resistance.) 

8.

A panther jumps to a height of 2.50 m when leaving the ground at an angle of 41.9º. What is its initial speed (in m/s) as it leaves the ground? 

9.

A bowling ball is launched from the top of a building at an angle of 30° above the horizontal with an initial speed of 11 m/s. The ball lands on the ground 3.2 s after it is launched. What is the height of the building (in m)? 

10. 

A cannon fires a cannonball with an initial velocity of 300 m/s at 59.0° above the horizontal. The cannonball impacts a raised plateau 45.0 s after firing. Let the +x-direction be directly ahead of the cannon and the +y-direction be upward. Find the x- and y-coordinates of the cannonball's impact point, relative to its firing point in m). 

11.

A cruise ship sails due north at 2.50 m/s while a coast guard patrol boat heads 39.0° north of east at 5.60 m/s. What are the x-component and y- component of the velocity of the cruise ship relative to the patrol boat? (Assume that the +x-axis is east and the +y-axis is north. Enter your answers in m/s.) 

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