1)A cannon mounted on a pirate ship fires a cannonball at 125 m/shorizontally, a

Question

1)A cannon mounted on a pirate ship fires a cannonball at 125 m/shorizontally, at a height of 17.5 m above the ocean surface. Ignoreair resistance. (a) How much time elapses until it splashes intothe water? (b) How far from the ship does it land?

2) Sam tosses a ball horizontally off a footbridge at 3.3 m/s.How much time passes after he releases it until its speeddoubles?

3) Your friend has climbed a tree to a height of 6.60 m. Youthrow a ball vertically up to her and it is traveling at 5.00 m/swhen it reaches her. What was the speed of the ball when it leftyour hand if you released it at a height of 1.10 m?

4) A professional punter can punt a ball so that its "hangtime" is 4.20 seconds and it travels 38.0 m horizontally. State itsinitial velocity in rectangular coordinates. Ignore air resistance,and assume the punt receiver catches the ball at the same height atwhich the punter kicks it.

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5) You have a boat with a motor that propels it at vboat = 4.5m/s relative to the water. You point it directly across the riverand find that when you reach the other side, you have traveled atotal distance of 27 m (indicated by the dotted line in thediagram) and wound up 17 m downstream. What is the speed of thecurrent?

Thank youuuu!

Explanation / Answer

current direction: +x, x = 17 m, d = 27 m, vb = vy = 4.5 m/s, findvc = vx x = vxt, so t = x/vxthe width of theriver = vbt = (d2 - x2) vbx/vx= (d2 -x2) vx = vbx/(d2 -x2) = 3.65 m/s

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