Assertion : A tennis ball bounces higher on h | vedclass

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(C) Let the tennis ball bounce with an initial velocity $u$. It will rise to a height $h$ where its final velocity becomes $0$. Using the equation of

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If the $Assertion$ is correct but $Reason$ is incorrect.

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(C) Let the tennis ball bounce with an initial velocity $u$. It will rise to a height $h$ where its final velocity becomes $0$. Using the equation of motion $v^2 - u^2 = 2as$,we get:$0^2 - u^2 = 2(-g')h$,where $g'$ is the acceleration due to gravity on the hill.Therefore,$h = \frac{u^2}{2g'}$.Since the acceleration due to gravity on the hill $(g')$ is less than that on the surface of the earth $(g)$ due to the increase in altitude,the height $h$ will be greater on the hill.Thus,the $Assertion$ is correct,but the $Reason$ is incorrect because $g'$ is actually less than $g$.

$Assertion$ : $A$ tennis ball bounces higher on hills than in plains.
$Reason$ : Acceleration due to gravity on the hill is greater than that on the surface of earth.

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$Assertion$ : $A$ tennis ball bounces higher on hills than in plains.$Reason$ : Acceleration due to gravity on the hill is greater than that on the surface of earth.