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Speed of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is

A particle starts from rest. Its acceleration (a)versus time (t) is as shown in the figure. The maximum speed of the particle will be

A particle has an initial velocity of 3 î +4 j and an acceleration of 0.4 î +0.3 j. Its speed after 10 s is

A small block slides without friction down an inclined plane starting from rest. Let S be the distance travelled from time t = n – 1 to t=n. Then Sn/ Sn+1 is

A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion

A particle located at x = 0 at time t = 0 starts moving along the positive x-direction with a velocity ‘ v’ that varies asv = a√x The displacement of the particle varies with time as

An object moving with a speed of 6.25 m/s, is decelerated at a rate given by dv/dt= -2.5√v where v is the instantaneous speed. The time taken by the object, to come to rest, would bewhere u is the instantaneous speed. The time taken by the object, to come to rest, would be

The relation between time and distance is t = ax² + ẞx where a and ẞ are constants. The retardation is

The velocity of a particle is v = v0 + gt + ft2 If its position is x = 0 at t = 0 then its displacement after unit time (t = 1) is

A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60⁰ with ground level. But he finds the aeroplane right vertically above his position. If u is the speed of sound, speed of the plane is

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