A ball is thrown eastward into the air from the origin (in the
direction of the positive x-axis). The initial velocity is 50i+ 80k, with speed
measured in feet per second. The spin of the ball results in a sounthward
acceleration of 4f t/s^2

, so the accelearation vector is a = −4j − 32k. Where

does the ball land and with what speed?

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Applications of Integration