EASY
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The SI unit of resultant velocity is m s-2.

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Important Questions on Dynamics

MEDIUM
A car covers the first half distance between two places at 40 kmph and the other half at 60 kmph. The average speed of the car is
MEDIUM

The displacement-time graphs of two moving particles make angles of 30° and 45° with the x-axis as shown in the figure. The ratio of their respective velocity is:

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EASY

A particle shows the distance-time curve as shown in the figure. The maximum instantaneous velocity of the particle is around the point.

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EASY

In 1.0 s, a particle goes from A to B moving in a semicircle of 1.0 m radius (as shown in the figure)

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The magnitude of the average velocity is

EASY
The displacement of a body is given by x=4t+5t3, where x is in metre and t is in second. The difference between the average velocity of the body in the time-interval t=1 s to t=2 s and its instantaneous-velocity at t=1 s is
MEDIUM

A particle moves rectilinearly possessing a parabolic s-t graph. Find the average velocity of the particle over a time interval from t=12 s to t=1.5 s.

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MEDIUM
A point initially at rest moves along x-axis. Its acceleration varies with time as a=(6t+5) in ms-2. It starts from origin, the distance covered in 1 s is
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A particle can travel from point A to B from two different paths 1 and 2 as shown, in same interval of time. Then, which of the following is incorrect?

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MEDIUM
Among the four graphs given below, there is only one graph for which average velocity over the time interval (0, T) can vanish for a suitably chosen T. Which one is it?
EASY
A man walks 6.5 km East in 2 hours and then 2.5 km West in 1 hour. Calculate the man's average velocity for the whole journey.
MEDIUM
A body starts from rest and moves with a constant acceleration. The ratio of distance covered in the nth second to the distance covered in n second is
HARD
A point moves rectilinearly in one direction figure , shows the distance s traversed by the point as a function of the time t. Using the plot find: (a) the average velocity of the point during the time of motion; (b) the maximum velocity; (c) the time moment t0 at which the instantaneous velocity is equal to the mean velocity averaged over the first t0 seconds.


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HARD
A point moves with uniform acceleration and v1, v2 and v3 denote the average velocities in the three successive intervals of time t1, t2 and t3. Which of the following relations is correct?
EASY
A particle moves for 20 s with velocity  3 ms-1 and then moves with velocity 4 ms-1 for another 20 s and finally moves with velocity 5 ms-1 for next 20 s. What is the average velocity of the particle?
EASY
A body covers one-third of the distance with a velocity v1, the second one-third of the distance with a velocity v2 and the last one-third of the distance with a velocity v3. The average velocity is
EASY
The following figure shows x-t graph of a particle. Find the time t such that the average velocity of the particle during the period 0 to t is zero.
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MEDIUM
A stone is projected with a velocity 202ms-1 at an angle of 45° to the horizontal. The average velocity of stone during its motion from starting point to its maximum height is (g=10ms-2)
MEDIUM

Represent the union of two sets by Venn diagram for each of the following.

X={x | x is a prime number between 80 and 100}

Y={y | y is an odd number between 90 and 100}

MEDIUM
A particle moves along a straight line and its velocity depends on time as v=4t-t2 m s-1. Then, for first 5 s:
HARD
Assuming that the petrol burnt in a motorboat varies as the cube of its velocity, the most economical speed when going against a current of c km per hour is