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JEE PHYSICS MCQ: MOTION IN PLANE

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Two particles are projected from the same point with the same speed, at different angles θ1\theta_1 and θ2\theta_2 to the horizontal. They have the same horizontal range. Their times of flight are t1t_1 and t2t_2 respectively incorrect statement is.
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Correct option: C
t1t2=tan⁡θ2\frac{t_1}{t_2}=\tan \theta_2
Option C (t1t2=tan⁡θ2\frac{t_1}{t_2}=\tan \theta_2) is correct because the correct relationship is t1t2=sin⁡θ1sin⁡θ2\frac{t_1}{t_2} = \frac{\sin \theta_1}{\sin \theta_2}, and since θ2=90−θ1\theta_2 = 90 - \theta_1, t1t2=tan⁡θ1\frac{t_1}{t_2} = \tan \theta_1.

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At the top of the trajectory of a projectile, the direction of its velocity and acceleration are A ball is thrown at an angle θ\theta and another ball is thrown at an angle (90∘−θ)\left(90^{\circ}-\theta\right) with the horizontal direction from the same point with velocity 39.2 ms−139.2 \mathrm{~ms}^{-1}. The second ball reaches 50 m50 \mathrm{~m} higher than the first ball. Find their individual heights. Take g=9.8 ms−2{g}=9.8 \mathrm{~ms}^{-2}. Assertion: The drover in a vehicle moving with a constant speed on a straight road is in a non-inertial frame of reference.

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