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A ball having kinetic energy (KE), is projected at an angle of \(60^\circ\) from the horizontal. What will be the kineti…

Q1 FREE PREVIEW

A ball having kinetic energy (KE), is projected at an angle of \(60^\circ\) from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?

[JEE Main 2025, 23 Jan (Shift 2)]

a

\(\frac{(\mathrm{KE})}{8}\)

b

\(\frac{(\mathrm{KE})}{2}\)

c

\(\frac{(\mathrm{KE})}{16}\)

d

\(\frac{(KE)}{4}\)

✓ Correct answer: d)

\(\frac{(KE)}{4}\)

Explanation

\({K}_{\cdot E}\cdot =\frac{1}{2}m{u}^{2}\\ \text{ At maximum height }\\ K\cdot {E}_{1}=\frac{1}{2}m(u\cos \theta {)}^{2}\\ K\cdot {\epsilon }_{1}=\frac{1}{2}m{u}^{2}{\cos }^{2}60^\circ \\ K\cdot {\epsilon }_{1}=K\cdot E\cdot x\frac{1}{4}\\ K\cdot {\epsilon }_{1}=\frac{K\cdot E\cdot }{4}\)

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