A car moves a distance of 200m. It covers first half ofthe distance at speed 60 kmh-1 and the second half atspeed v. If the average speed is 40 kmh-1, the value of v is
A bus begins to move with an acceleration of 1 ms-2. Aman who is 48 m behind the bus starts running at 10ms-1 to catch the bus. The man will be able to catchthe bus after.
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A particle is moving with constant acceleration from Ato B in a straight line AB. If u and v are the velocities a tA and B respectively, then its velocity at the midpoint cwill be
A body starts from rest with uniform acceleration. If itsvelocity after n second is v, then its displacement inthe last 2 s is
The moter of an electric train can give it an accelerationof 1 ms-2 and brakes can give a negative accelerationof 3 ms-2. The shortest time in which the train can makea trip between the two station 1215 m apart is
Two spheres of same size, one of mass 2 kg andanother of mass 4 kg are dropped simultaneously fromthe top of Qutab Minar (height = 72 m.) When they are1 m above the ground, the two spheres have the same
The numerical ratio of average velocity to average speed is
A body moving with a uniform acceleraton crosses adistance of 65 m in the 5th second and 105 m in 9thsecond. How far will it go in 20 s ?
A body is projected vertically upwards. The timescorresponding to height h while ascending and whiledescending are t1 and t2 respectively. Then the velocityof projection is (g is acceleration due to gravity)
Two cars A and B are moving with same speed of 45kmh-1 along same direction. If a third car C coming fromthe opposite direction with a speed of 36 kmh-1 meetstwo cars in an interval 5 min, the distance of separationtwo cars A and B should be (in km)
A scooterist sees a bus 1 km ahead of him moving witha velocity of 10 ms-1. With what speed the scooteristshould move so as to overtake the bus in 100 s?
A bullet emerge from a barrel of length 1.2 m with aspeed of 640 ms-1. Assuming constant acceleration,the approximate time that is spends in the barrel afterthe gun is fired is
A body is moving along a straight line path with constantvelocity. At an instant of time the distance travelled byit is s and its displacement is D, then
A car moves from X to Y with a uniform speed vu andreturns to Y with a uniform speed vd. The average speedfor this round trip is
Two balls are dropped to the ground from different heights.One ball is dropped 2 s after the other but they bothstrike the ground at the same time. If the first ball takes5 s to reach the ground, then the difference in initialheights is (g = 10 ms-2)
A police car is travelling in a straight line with a constantspeed v. A truck travelling in the same direction withconstant velocity 3v/2 passes, the police car at t = 0.The police car starts acceleration 10s after passing thetruck, at a constant rate of 3 ms-2, while truck continuesto move at constant speed. If the poilce car takes 10 sfurther to catch the truck, find the value of v
A cyclist starts from the centre O of a circular park ofradius 1 km, reaches the edge P of the park, then cyclesalong the circumference and returns to the point O asshown in figure. If the round trip takes 10 min, the netdisplacement and average speed of the cyclist (in metreand kilometre per hour) are
A bullet moving with a speed of 100 ms-1 can justpenetrate two planks of equal thickness. Then, thenumber of such planks penetrated by the same bulletwhen the speed is doubled will be
A ballon is rising vertically up with a velocity of 29 ms-1.A stone is dropped form it and it reaches the ground in10s. The height of the balloon when the stone wasdropped from it is (g = 9.8 ms-2)
A car starting from rest, accelerates at the rate f througha distance S, then continues at constant speed for timet and then decelerates at the rate f/2 to come to rest. Ifthe total distance travelled is 15 S, then
A parachutist after bailing out falls 50 m without friction.When parachute opens, it decelerates at 2ms-2. Hereaches the ground with a speed of 3 ms-1. At whatheight, did he bail out?
Two balls of same size but the density of one is greaterthan that of the other are dropped from the same height,then which ball will reach the earth first (air resistanceis negligible)?
A body of mass 10 kg is moving with a constant velocityfo 10 ms-1. When a constant force acts for 4 s on it, itmoves with a velocity 2 ms-1 in the opposite direction.The acceleration produced in it is
A bullet comes out of the barrel of gun of length 2m witha speed 80 ms-1. The average acceleration of the bullet is
A ball which is at rest is dropped from a height h metre.As it bounces off the floor its speed is 80% of what itwas just before touching the ground. The ball then riseto nearly a height