An object is released to fall vertically from a height of 20m. At the same time, another object is projected vertically upwards with a velocity...

      

An object is released to fall vertically from a height of 20m. At the same time, another object is projected
vertically upwards with a velocity of 40m/ss

a)Calculate the time taken before the two objects meet
b) At what height above the point of projection do they meet?

  

Answers


Moraa
a)calculate the time taken before the two objects meet.
Let the time taken to meet be t. then, after a time t the distance covered by the object moving downwards will be;
sd=½gt2, (since u=0).
=½*2t
2=5t2
The distance covered by the object projected upwards after a time t will be;
su=ut-½gt2=40t-5t2
But sd+su=20m
Therefore, 5t2+40t-5t2=20
t=20/40=5.5s
b) At what height above the point of projection do they meet?
su=ut-½gt2=(40*5.5)-(½*2*5.52)
=66.75m
Moraa orina answered the question on April 8, 2018 at 16:57


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