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A ball is thrown up with initial velocity $u$. It reaches its highest point at time:
A$t=\dfrac{2u}{g}$
B$t=\dfrac{g}{u}$
C$t=ug$
D$t=\dfrac{u}{g}$
Answer & Solution
Correct answer: D. $t=\dfrac{u}{g}$
1. Rising motion follows $v=u-gt$, with $g$ opposing the upward velocity.
2. At the highest point the ball is momentarily at rest, so $v=0$.
3. Substituting gives $0=u-gt$.
4. Rearranging, $t=\dfrac{u}{g}$.
5. The value $\dfrac{2u}{g}$ is the total time of flight, since the fall takes as long as the rise.
_Source: NECTA CSEE 2021 Physics 031, Question 1: Multiple Choice, item (iv)_
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