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When a particle moves with variable velocity, which of the following statement are NOT correct ?
(i) Average speed = average velocity
(ii) Instantaneous speed = instantaneous velocity
(iii) Distance covered = magnitude of displacement

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Important Questions on Kinematics

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For a body projected vertically upwards with a velocity v0 from the ground. match the following?

Column-I Column-II
(a) vav (i)  v0 g
(b)  uav (Average speed) (ii)  v1+v22 over any time-interval
(c)  Tascent (iii) v02 over the total time of its flight
(d) Tdecent (iv) v0g

 

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A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following a ________
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A particle starts from origin at t=0 with a velocity of 15 i^ m·s-1 and moved in xy-plane with an acceleration of 15i^+20j^ m·s-2. The y-coordinate of the particle when it has 180 m as its x-coordinate is
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The displacement of a particle moving along x-axis is given by x=8t2+18t. The average acceleration during the interval t1=2s and t2=4s is
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The velocity-time graph of an object is as shown. The displacement during the interval 0 to t4 is

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A particle moving in a gravity free space along horizontal with a velocity 1 m s-1 is subjected to an acceleration 2 i^+4 j^ m s-2. Then the vertical distance covered by the particle by the time it covers a horizontal distance 6 m is
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Two projectiles A and B are projected with the same initial speed. A is launched at an angle ϕ with the horizontal and B at an angle ϕ with the vertical. If A has a range R1 and B has a range R2, then
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A stone is thrown with a velocity of 20 m s-1 at an angle 60° with the horizontal. The speed of the stone when its direction of motion makes 45° with the horizontal is