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At what height objects will pass each other?

  • #1

Homework Statement



An object is thrown downward with an initial (t = 0) speed of 10 m/s from a height of 60 m above the ground. At the same instant (t = 0), a second object is propelled vertically upward from ground level with a speed of 40 m/s. At what height above the ground will the two objects pass each other?

first object
t0 = 0
V = 10 m/s
H = 60
Second object
t0 = 0
V = 40 m/s
H = 60

Homework Equations


d = Vi . t + 1/2 a t2


The Attempt at a Solution


This equation doesn't see me to work since we need to find at which height objects will pass
 

Answers and Replies

  • #2
tiny-tim
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hi patelneel1994! :wink:

call the height of either object above the ground "d", and rememb
er that the two objects start at different values of d …

show us what you get :smile:
 
  • #3
So instead of d I should put h. Find height for each object separately!
 
  • #4
tiny-tim
Science Advisor
Homework Helper
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251
d or h, it doesn't matter, so long as you use the same symbol for each, but start them at different values :wink:
 
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  • #5
I got 41 m. Thanks
 
  • #6
haruspex
Science Advisor
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I got 41 m. Thanks
I confirm that answer. A slightly quicker way, perhaps, is to note that the two objects undergo the same acceleration, so the relative velocity is constant. The closing speed is therefore a constant 10+40=50 m/s. That tells you how long they take to meet.
 
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