Self Studies

Motion in A Str...

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  • Question 1
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    Three particles A,BA, B and CC are thrown from the top of a tower with the same speed. AA is thrown straight up, BB is thrown straight down and CC is thrown horizontally. They hit the ground with speed vA,vBv_{A}, v_{B} and vCv_{C} respectively.

  • Question 2
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    A car and bike start racing in a straight line. The distance of finish line from starting line is 100m. The minimum acceleration of car to win, if it accelerates uniformly starting from rest and the bike moves with a constant velocity of 10 m/s, is

  • Question 3
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    A body is thrown horizontally from the top of a tower of height 5 m5\ m. It touches the ground at a distance of 10 m10\ m from the foot of the tower. The initial velocity of the body is (g=10 ms2)\left( g=10\ m{ s }^{ -2 } \right)

  • Question 4
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    The deceleration of a car traveling on a straight highway is a function of its instantaneous velocity vv given by w=avw=a\sqrt { v } , where aa is a constant. If the initial velocity of the car is vov_o, the distance the car will travel and the time it takes before it stops are

  • Question 5
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    A 20 kg20\ kg bullet pierces through a plate of mass M1=1 kgM_{1} = 1\ kg and then comes to rest inside a second plate of mass M2=2.98 kgM_{2}= 2.98\ kg as shown in the figure. It is found that the two plates initially at rest and now move with equal velocities. Find the percentage loss in the initial velocity of the bullet when it is between M1M_{1} and M2M_{2}. (Neglect any loss of material of the plates due to the action of bullet).

  • Question 6
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    A body falling from a high Minaret travels 40m40m in the last 22 seconds of its fall to ground. Height of Minaret in metres is
    (take g=10m/s2g=10m/{ s }^{ 2 })

  • Question 7
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    The speed of a car is reduced from 90 km/hr to 36 km/hr in 5 s. What is the distance travelled by the car during this time interval.

  • Question 8
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    A particle is found to be at rest when seen from a frame S1S_{1} and moving with a constant velocity when seen from another frame S2S_{2}. Mark out the possible options.

  • Question 9
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    A particle is thrown upwards from ground. It experiences a constant resistance force which can produce retardation 2m/s22{ m/s }^{ 2 }. The ratio of time of ascent to the time of descent is (g=10m/s210{ m/s }^{ 2 })

  • Question 10
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    A and B start walking towards each other from the opposite ends of a 15 km long straight road, at a speed of 5 km/hr and 7 km/hr respectively. How far apart will they be after one hour?

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