A girl at the bottom of a 100m high cliff throws a tennis ba

问题描述:

A girl at the bottom of a 100m high cliff throws a tennis ball vertically upwards.A boy at the very top of the cliff drops a golf ball so that it hits the tennis ball while both ball are still in the air.
Q1:With what speed is the tennis ball thrown so that the golf ball strikes it at the top of its path?
Q2:What's the position of the tennis ball when the golf ball strikes it?
1个回答 分类:英语 2014-10-05

问题解答:

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Solution:
Define t1 as the time at which two balls meet each other,the distance the tennis has fallen when two balls meet as S1,the distance the golf ball rises as S2,the initail velocity of tennis ball as v0
since the point two balls meet are the top point of golf ball 's path
so that t1=v0/g
then
S1=1/2*g*t1^2
S2= v0*t1-1/2*g*t1^2
get s1=s2=50m
assume g=10m/s^2
t1=10^0.5 s which is about 3.162s
v0=g*t1=31.6m/s
Answer:Q1 With the speed of 31.6m/s the tennis ball is thrown so that the golf ball strikes it at the top of its path
Q2:The meet at the middle point of the cliff which is 50m from both the top and the bottom.
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