Motion in A Str...

A car is moving along a straight road with a uniform acceleration. It passes through two points $$P$$ and $$Q$$ separated by a distance, with velocity $$30\ km/hr$$ and $$40\ km/hr$$ respectively. The velocity of the car midway between $$P$$ and $$Q$$ is

A body $$X$$ is projected upwards with a velocity of $$98\ ms^{-1}$$, after $$4s$$, a second body $$Y$$ is also projected upwards with the same $$Y$$ is also projected upwards with the same initial velocity. Two bodies will meet after

A man of mass $$60$$kg and a boy of mass $$30$$kg are standing together on frictionless ice surface. If they push each other apart man moves away with a speed of $$0.4$$m/s relative to ice. After $$5$$sec they will be away from each other at a distance of.

If the distance travel by a uniformly accelerated particle in $$pth, qt$$ and $$rth$$ second are $$a, b$$ and $$c$$ respectively. Then

If a coin is dropped in a lift it takes $$t_{1}$$ time to reach the floor and takes $$t_{2}$$ time when lift is moving up with constant acceleration, when which one of the following relation is correct?

A body starts from rest acquires a velocity $$v$$ in time $$T$$. The work done on the body in time$$t$$ will be proportional to

Initial speed of an alpha particle side a tube a length $$4\ m$$ is $$1\ km/s$$, if it is accelerated in the tube and comes out with a speed of $$9\ km/s$$, then the time for which the particle remains inside the tube is

A ball thrown upward from the top of a tower with speed $$v$$ reaches the ground in $$t_{1}$$ second. If this ball is thrown downward from the top of the same tower with speed $$v$$ it reaches the ground in $$t_{2}$$ second. In what time the ball shall reach the ground if it is allowed to fall freely under gravity from the top of the tower?

The time required to stop a car of mass $$800\ kg$$ moving at a speed of $$20\ ms^{-1}$$ over a distance of $$25\ m$$ is

The driver of an express train suddenly sees the red light signal 50 m ahead and applies the brakes .If the average deceleration during braking is $$10.0 ms^{-2}$$ and the reaction time of the driver is 0.75 sec , the minimum speed at which the train should be moving so as not to cross the red signal is