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An object lauched upwards at an angle ha...

An object lauched upwards at an angle has parabolic motion. The height h, of a projectile at time t is given by the equation `h =1/2 at ^(2) + v _(y)t + h _(0),` where a is the acceleration due to gravity, `v _(v)` is the vertical component of the velocity, and `h _(0)` is the initial height. Which of the following equations correctly represents the object's acceleration due to gravity in terms of the other variables ?

A

`a =(h -v_(v) t -h_(0))/(t )`

B

`a= (h - v_(v) t -h _(0))/(2t ^(2))`

C

`a = (2( h - v _(v) t - h _(0)))/(t ^(2))`

D

`a =t sqrt(2(h -v _(v)t -h _(0)))`

Text Solution

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The correct Answer is:
C
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