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(a) 0 m
(b) v= v₁+ v₂/2
(b) 50 m/s
(b) 3
(a) 45°
(c) 60°
(d) π/30 πrad/s
(b) 80 m
(b) 1/√2 m/s² towards north-west
(b) K/2
A projectile rises to a height of 10 m and then falls at a distance of 30 m away from the projection. Its vertical displacement is
(a) 0 m
(a) 0 m
See lessA boy runs along a straight path for the first half distance with a velocity V₁ and second half with velocity V₂. The mean velocity V is given by
(b) v= v₁+ v₂/2
(b) v= v₁+ v₂/2
See lessA body projected at an angle with the horizontal has a range 300 m. I the time of flight is 6s, then the horizontal component of velocity is
(b) 50 m/s
(b) 50 m/s
See lessA boat which has speed of 5 km/h in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of rive water in km/hr is
(b) 3
(b) 3
See lessIf the scalar and vector products of two vector A and B are equal in magnitude, then the angle between the two vectors is
(a) 45°
(a) 45°
See lessThe angle between the vectors (i + j) and (j+ k) is
(c) 60°
(c) 60°
See lessThe angular velocity of seconds hand of a watch is
(d) π/30 πrad/s
(d) π/30 πrad/s
See lessA body dropped from top of tower falls through 60 m during the last 2 seconds of its fall. The height of tower is (g = 10 m/s²)
(b) 80 m
(b) 80 m
See lessA particle is moving eastwards with a velocity of 5 m/s. In 10s, the velocity changes to 5 m/s north words. The average acceleration in this time is
(b) 1/√2 m/s² towards north-west
(b) 1/√2 m/s² towards north-west
See lessIf K is the kinetic energy of a projectile fired at an angle 45°, then what is the kinetic energy at the highest point.
(b) K/2
(b) K/2
See less