Motion

The acceleration versus time graph of a particle moving along a straight line is shown in the figure. Draw the respective velocity time graph. (Assuming at $t=0, v=0$ )

A projectile is projected with velocity of $ 40 \mathrm{~m} / \mathrm{s} $ at an angle $ \theta $ with the horizontal. If $ R $ be the horizontal range covered by the projectile and after $ t $ seconds, its inclination with horizontal becom...

A boat crosses a river from part \(A\) to part \(B\), which are just on the opposite side. The speed of the water. \(v_\omega\) and the of boat is \(v_B\) relative to still water. Assume \(v_B=\sqrt{2} v_\omega\). What is the time taken by ...

A projectile is projected with the velocity of \((3\widehat i + 4\widehat j)\) m/s. The horizontal range of the projectile will be

A projectile is given an initial velocity of \((\widehat i + \widehat j)\) m/s, where, \(\widehat i\) is along the ground and \(\widehat j\) is along the vertical. If g = 10 m/s2, then the equation of its trajectory is

A man walks in a straight line for 5 min with a velocity of 45 m/s. What is the speed with which he has to move in order to comeback to its original position in 1.5 min?

The acceleration of a particle in m/s2 is given by a = (3t2 \(-\) 2t + 1), where t is in second. If the particle starts with a velocity v = 1 m/s at t = 1s, then velocity of the particle at the end of 4s is

Based on the provided velocity-time graph for an object’s straight-line movement, determine the total distance covered and the average speed between t = 0 and t = 20 seconds.