EASY
11th West Bengal Board
IMPORTANT
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The velocity-time curve for a body projected vertically upward is

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Important Questions on Motion of a Particle

HARD
11th West Bengal Board
IMPORTANT
A body falling freely from rest describes distances S1, S2 and S3 in the first, second and third seconds of its fall. The ratio of S1:S2:S3 is
 
MEDIUM
11th West Bengal Board
IMPORTANT

The velocity-time graph of a body moving in a straight line is shown in Fig. The displacement and distance travelled by the body in 6 seconds are respectively

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HARD
11th West Bengal Board
IMPORTANT
If a freely falling body in the last second travels a distance equal to the distance travelled in the first three seconds, the time of its travel is
 
MEDIUM
11th West Bengal Board
IMPORTANT

A car accelerates from rest at a constant rate α for some time after which it decelerates at a constant rate β and comes to rest. If the time elapsed is t, maximum velocity acquired by the car is

 

HARD
11th West Bengal Board
IMPORTANT
A car is moving along a straight road with an uniform acceleration. It passes through two points P and Q separated by some distance with velocities 30 km/h and 40 km/h. The velocity of the car midway between P and Q is:
HARD
11th West Bengal Board
IMPORTANT

For the velocity-time graph shown in Fig. The distance covered by the body in the last two seconds of its motion is what fraction of the total distance covered in all the seven seconds?

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HARD
11th West Bengal Board
IMPORTANT
The water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the top at the instant the first drop touches the ground. How far above the ground is the second drop at that instant 
MEDIUM
11th West Bengal Board
IMPORTANT
A boat is moving with a velocity of 3i^+4j^ w.r.t ground. The water in the river is moving with a velocity of -3i^-4j w.r.t. ground. The relative velocity of the boat w.r.t water is: