the velocity of a freely falling body changes as g to the power p× h to the power q ,where g is acceleration due to gravity and h is height the value of p and q are _________
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Hey Dear,
◆ Answer -
p = 1/2
q = 1/2
● Explanation -
Supposed equation is -
v ∝ g^p.h^q
Newton's 3rd law of kinematics,
v^2 = u^2 + 2as
For a freely falling body, u = 0, a = g, s = h,
v^2 = 0^2 + 2gh
v^2 = 2gh
v = √(2gh)
This can be also written as -
v = √2 g^½.h^½
Hence, value of p & q both will be 1/2.
Hope that's useful...
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