In a projectile motion the velocity,
1. | is always perpendicular to the acceleration |
2. | is never perpendicular to the acceleration |
3. | is perpendicular to the acceleration for one instant only |
4. | is perpendicular to the acceleration for two instants |
1. | \(2\) km | 2. | \(1\) km |
3. | \(\dfrac12\) km | 4. | \(\dfrac14\) km |
1. | \(h_A=h_B~\text{sin}\theta\) |
2. | \(h_A~\text{sin}\theta=h_B\) |
3. | \(h_A~\text{sin}^2\theta=h_B\) |
4. | \(\frac{h_A}{\text{sin}^2\theta}=h_B\) |
Two projectiles are launched, one at twice the speed of the other; the slower one at \(30^\circ\) and the faster one at \(60^\circ.\) Their horizontal ranges are in the ratio: (slower : faster)
1. | \(\dfrac{1}{2}\) | 2. | \(\dfrac{1}{4}\) |
3. | \(\dfrac{1}{6}\) | 4. | \(\dfrac{1}{12}\) |
The velocity of a projectile at the initial point \(A\) is \(2\hat i+3\hat j~\text{m/s}.\) Its velocity (in m/s) at the point \(B\) is:
1. | \(-2\hat i+3\hat j~\) | 2. | \(2\hat i-3\hat j~\) |
3. | \(2\hat i+3\hat j~\) | 4. | \(-2\hat i-3\hat j~\) |
If two projectiles, with the same masses and with the same velocities, are thrown at an angle \(60^\circ\) and \(30^\circ\) with the horizontal, then which of the following quantities will remain the same?
1. | time of flight |
2. | horizontal range of projectile |
3. | maximum height acquired |
4. | all of the above |