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NEET PHYSICSMedium

A ball is projected with a velocity, 10 ms110 \text{ ms}^{-1}, at an angle of 6060^\circ with the vertical direction. Its speed at the highest point of its trajectory will be:

A

Zero

B

53 ms15\sqrt{3} \text{ ms}^{-1}

C

5 ms15 \text{ ms}^{-1}

D

10 ms110 \text{ ms}^{-1}

Step-by-Step Solution

The angle with the vertical is 6060^\circ, so the angle with the horizontal is θ=9060=30\theta = 90^\circ - 60^\circ = 30^\circ. At the highest point, the vertical component of velocity is zero, and the speed is equal to the horizontal component: v=ucos(θ)=10cos(30)=10×32=53 ms1v = u \cos(\theta) = 10 \cos(30^\circ) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3} \text{ ms}^{-1}.

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