(a) Just for fun, a person jumps from rest from the top of atall cliff overlooki
ID: 3093318 • Letter: #
Question
(a) Just for fun, a person jumps from rest from the top of atall cliff overlooking a lake. In falling through a distanceH, she acquires a certain speed v. Asssuming free-fallconditions, how much farther must she fall in order to acquire aspeed of 2v? Express your answer in terms of H. Answer: H'=3H (b) would the answer to part(a) be different, if this eventwere to occur on another planet when the acceleration due togravity had a value other than 9.80m/s2? Answer: no effect (a) Just for fun, a person jumps from rest from the top of atall cliff overlooking a lake. In falling through a distanceH, she acquires a certain speed v. Asssuming free-fallconditions, how much farther must she fall in order to acquire aspeed of 2v? Express your answer in terms of H. Answer: H'=3H (b) would the answer to part(a) be different, if this eventwere to occur on another planet when the acceleration due togravity had a value other than 9.80m/s2? Answer: no effectExplanation / Answer
a) v2=2gH-----(1) (2v)2=2gH'-------(2) Eqn1/Eqn2 gives: 1/4 =H/H' So H'=4H Difference in heights = 3H b)H' being independent of g ,answer in part a remains unchangedif this event were to occur on another planet where theacceleration due to gravity had a value other than9.80m/s2.
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