Motion in a plane Questions
Water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant? (g = 10 m/s²)
A train is moving towards East with a speed 20 m/s. A person is running on the roof of the train with a speed 3 m/s with respect to train and against its motion. Velocity of the person as seen by an observer on ground will be;
Rain is falling vertically downwards with respect to ground at a speed of 4 km h⁻¹. A girl starts moving on a horizontal road with a velocity of 3 km h⁻¹. The relative velocity of rain with respect to the girl is;
If the magnitude of A and B are 5 units and 10 units respectively and the angle between the two vectors is 37°, then find |A × B|.
A ball is thrown at an angle of θ to the horizontal such that it covers maximum horizontal range. The value of sec θ is;
A stone tied to the end of a 80 cm long string is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolution in 22 s, the magnitude of its acceleration is; (π = 22/7)
If A = î + 3ĵ and B = î − ĵ + k̂, then unit vector perpendicular to A and B is;
A particle is moving along a circular path with uniform speed in clockwise direction. Through what angle does direction of angular velocity change when it completes half of the circular path?
The width of a river is 1 km. The velocity of boat in still water is 5 km/h. If the boat covers the width of river in shortest path in 15 minutes, then the velocity of river stream is;
The path of a projectile in air as seen by an observer on another projectile in air is a/an; (neglect air resistance)
Two guns on a battleship simultaneously fire two shells with same initial speed at stationary enemy ships A and B. If the shells follow the parabolic trajectories as shown in figure, which ship will get hit first? (Assume both ships A and B in the ra
An object is thrown horizontally from the top of a tower as shown in figure. The distance D covered by object is; (take g = 10 m/s², neglect air resistance)
If angle between vectors A and B is 30°, then the angle between vectors 2A and −B is;
A body is projected at an angle 30° above the horizontal with speed of 30 m/s. What is the angle made by velocity vector with horizontal after 1.5 s? (Take g = 10 m/s²)