Homework Help: Math

Posted by Jeremie on Monday, December 10, 2012 at 9:23am.

Mighty Mouse (who flies at a constant speed of 1400 ft/sec) was standing next to a cannon that was pointed straight up. A cannonball was shot vertically into the air with an initial velocity of 880 ft/sec. Exactly one second after the cannon was fired, Might Mouse flew up to touch the bottom of the cannonball. He then immediately turned and flew back down to touch the inside bottom of the cannon, then up to the cannonball, down into the cannon, and so on, until the cannonball fell back in the cannon's barrel. What was the total distance Mighty Mouse had flown when he was finally smashed into mouse-mush by the cannonball?

Math - Steve, Monday, December 10, 2012 at 10:51am
the cannonball: v=880-32t
v=0 (max height) at t=27.5 sec
total time in air: 55 sec

so, Mickey flew for 54 sec at 1400ft/sec = 75600 ft

assuming zero body thickness and reach for Mickey.

Otherwise he could not fly during the final instants when the ball was crushing his body, and his flights between cannon bottom and ball were shorter than the distance between them.
Math - Steve, Monday, December 10, 2012 at 10:52am
sorry. Mighty. Mickey does not fly. :-(

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