What is the initial speed of the cannonball

Reference no: EM13837366

A cannonball is shot (from ground level) with an initial horizontal velocity of 33 m/s and an initial vertical velocity of 24 m/s.

What is the initial speed of the cannonball?

What is the initial angle θ of the cannonball with respect to the ground?
What is the maximum height the cannonball goes above the ground?

How far from where it was shot will the cannonball land?

What is the speed of the cannonball 3.1 seconds after it was shot?

How high above the ground is the cannonball 3.1 seconds after it is shot?

Ted Williams hits a baseball with an initial velocity of 120 miles per hour (176 ft/s) at an angle of θ = 35 degrees to the horizontal. The ball is struck 3 feet above home plate. You watch as the ball goes over the outfield wall 420 feet away and lands in the bleachers. After you congratulate Ted on his hit he tells you, 'You think that was something, if there was no air resistance I could have hit that ball clear out of the stadium!'

Assuming Ted is correct, what is the maximum height of the stadium at its back wall x = 565 feet from home plate, such that the ball would just pass over it?

You may need: 9.8 m/s² = 32.2 ft/s²1 mile = 5280 ft

Reference no: EM13837366

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