Question

Suppose that a passenger intent on lunch

during his first ride in a hot-air balloon accidently drops an apple

over the side during the balloon’s liftoff. At the moment of the apple’s release, the balloon is accelerating upward with a magnitude

of 4.0 m/s2 and has an upward velocity of magnitude 2 m/s.

What are the (a) magnitude and (b) direction of the acceleration of

the apple just after it is released? (c) Just then, is the apple moving

upward or downward, or is it stationary? (d) What is the magnitude

of its velocity just then? (e) In the next few moments, does the

speed of the apple increase, decrease, or remain constant?

Step 1

(a) When the apple is released, it is no longer under the influence of the balloon. It undergoes freefall and hence the magnitude of acceleration will be that of the acceleration due to gravity, 9.8 m/s^{2}.

Step 2

(b) The direction of acceleration is same as that of the acce...

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