What common denominator can be used to write the left side as one rational expression?
1 answer:
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Answer:
The time after which the rocket hit the ground is 5 seconds
Step-by-step explanation:
Given as :
The distance of the cover by rocket at the height h = - 16 t² + 160 t
Let the time after which rocket hit the ground = T seconds
Now, When the rocket hits the ground, then at that time, the velocity of the rocket becomes zero.
I.e velocity = = 0
Or, v = = 0
Now, v =
Or, v =
or, v = - 32 t + 160
Now, ∵ velocity of rocket after reaching the ground becomes zero
So, v = - 32 t + 160 = 0
Or, 32 t = 160
Or, t =
∴ t = 5 sec
So, The time after which the rocket hit the ground = 5 sec
Hence The time after which the rocket hit the ground is 5 seconds answer