MEDIUM
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The driver of a bus moving at an speed of 60 km hr-1 saw a man at a distance of 52 m from the bus. The driver stopped the car at a distance of 2 m from the man using brake. The time required to stop the bus is

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Important Questions on Kinematics

EASY
Assam CEE
IMPORTANT
The displacement of a particle moving along a straight line is related to time as x=t-3. The displacement of the particle when its velocity is zero is
EASY
Assam CEE
IMPORTANT
Water-drops are falling at regular intervals from a water tap situated at a height of 5 meters from the ground. Just at the moment, the first drop touches the ground, the third drop comes out. At that moment, the height of the second drop of water from the ground will be
HARD
Assam CEE
IMPORTANT
A car starts from rest with a constant acceleration of 5 m s-2. At the same time, a bus travelling with a uniform velocity of 50 m s-1 overtakes and passes the car. The distance through which the car again overtakes the bus is:
HARD
Assam CEE
IMPORTANT
Two uniformly dense spherical balls of radius R and 2R are released simultaneously from identical heights. If both the balls hit the ground at the same time, then the ratio of densities of the balls, ρR:ρ2R is (here, ρRis the density of the ball with radius R and ρ2R is the density of the ball with radius 2R)
MEDIUM
Assam CEE
IMPORTANT
M.S. Dhoni hits two cricket balls in the air in a T-20 match. Both the balls leave his bat at the same velocity but at different angles of 30° and 60° respectively. If one ignores air friction and wind velocity, which of the following statements is correct? (Angles are with respect to the horizontal)
MEDIUM
Assam CEE
IMPORTANT
The position of a particle as a function of time is given by rt=Acosωti^+Bsinωtj^ where A and B are two real positive constants with A>B. The orbit of the particle looks like-
MEDIUM
Assam CEE
IMPORTANT
The equation of motion of a body is, dv(t)dt=9-3vt where, v(t) is the speed (in m s-1) at time t (in second). If the body was at rest at t=0, then which of the following is correct?
MEDIUM
Assam CEE
IMPORTANT
The initial velocity of a projectile is 2i^+4j^ m s-1, where i^ and j^ are along horizontal and vertical directions, respectively. For g=10 m s-2, the equation of the trajectory will be,