A parachutist drops first freely from an aeroplane for 10 s and then his parachute opens out. Now he descends with a net retardation of 2.5 ms^−2. If he bails out of the plane at a height of 2495 m and g = 10 ms^−2, his velocity on reaching the ground will be

A body is project at t= 0 with a velocity 10ms−1 at an angle of 60∘ with the horizontal .The radius of curvature of its trajectory at t=1 s is R. Neglecting air resistance and taking acceleration due to gravity g=10 ms−2, the value of R is :

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An electron is moving along + x direction with a velocity of 6 × 10^6 ms^–1. It enters a region of uniform electric field of 300 V/cm pointing along + y direction. The magnitude and direction of the magnetic field set up in this region such that the electron keeps moving along the x direction will be

A ball of mass 10 kg moving with a velocity 10√3 ms^–1 along the X-axis, hits another ball of mass 20 kg which is at rest. After the collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of the pieces starts moving along the Y-axis at a speed of 10 m/s. The second piece starts moving at a speed of 20 m/s at an angle θ (degree) with respect to the X-axis. The configuration of pieces after the collision is shown in the figure. The value of θ to the nearest integer is ________.