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The shortest distance between the motorcyclist and the car is

A person goes to his office from his home daily at a fixed speed. But today he decided to reduce his speed by 10% as a result he reaches his office 20 minute late. The actual time he takes to reach his office daily is:

A car moves with speed $60km/h$ for $1$ hour in east direction and with same speed for $30min$ in south direction. The displacement of car from initial position is:

An automobile travelling with speed of $60kmh_{−1}$ can brake to stop within a distance of $20m$. If the car is going twice, i.e., $120kmh_{−1}$, the stopping distance will be

A car moving on a straight road covers one third of a certain distance with 20 Km/h and the rest with 60 Km/h. The average speed is :

A particular moves vertically with an upward initial speed $v_{0}=10.5ms_{−1}$. If its acceleration varies with time as shown in $a−t$ graph in Fig. find the velocity of the particle at $t=4s$.

If a particle moving along a line following the law $t=as_{2}+bs+c$ then the retardation of the particle is proportional to

A river flows $3km/h$ and a man is capable of swimming at the rate of $2km/h$. He wishes to cross it such that the displacement parallel to river is minimum. In which direction should he swim?

The position time graph of a moving particle is shown. Then which of the below best represents its velocity time graph : $(θ_{1}=θ_{2}=120_{0})$

Two particles A and B start moving simultaneously along the line joining them in the same direction with acceleration of 1 m/s and 2 m/s and speeds 3 m/s and 1 m/s respectively. Initially A is 10 m behind B. What is the minimum distance between them?