A body is falling freely under gravity. The distances covered by

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41.

A body is falling freely under gravity. The distances covered by the body in first, second and third minute of its motion are in the ratio

  • 1 : 4 : 9

  • 1 : 2 : 3

  • 1 : 3 : 5

  • 1 : 5 : 6


C.

1 : 3 : 5

Distance covered in a particular time is

            sn = u + 12 g 2n - 1    s1 = 0 + 12g 2 × 1 - 1 = g2        s2 = 0 + 12g 2 × 2 - 1 = 32 gand  s3 = 0 + 12g 2 × 3 - 1 = 52 g

Hence, the required ratio is

s1 : s2 : s3 = g2 : 32 g : 52 g                 = 1 : 3 : 5


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42.

A bullet fired into a fixed wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of

  • 223 cm

  • 403 cm

  • 203 cm

  • 225 cm


43.

A ball A is thrown up vertically with a speed u and at the same instant another ball B is released from a height h. At time t, the speed of A relative to B is 

  • u

  • 2u

  • u − gt

  • u2 - gt


44.

A bullet is to be fired with a speed of 2000 ms-1 to hit a target 200 m away on a level ground. If g = 10 ms-2, the gun should be aimed

  • directly at the target

  • 5 cm below the target

  • 5 cm above the target

  • 2 cm above the target


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45.

A particle starts from rest at t = 0 and moves in a straight line with an acceleration as shown in figure. The velocity of the particle at t = 3 s is

  • 2 ms-1

  • 4 ms-1

  • 6 ms-1

  • 8 ms-1


46.

Two cars A and B are moving with same speed of 45 km/h along same direction. If a third car C coming from the opposite direction with a speed of 36 km/h meets two cars in an interval of 5 min, the distance of separation of two cars A and B should be (in km)

  • 6.75

  • 7.25

  • 5.55

  • 8.35


47.

Two trains are moving with equal speed in opposite directions along two parallel railway tracks. If the wind is blowing with speed u along the track so that the relative velocities of the trains with respect to the wind are in the ratio 1 : 2, then the speed of each train must be

  • 3u

  • 2u

  • 5u

  • 4u


48.

Two balls are dropped to the ground from different heights. One ball is dropped 2 s after the other but they both strike the ground at the same time. If the first ball takes 5 s to reach the ground, then the difference in initial heights is (g = 10 ms-2)

  • 20 m

  • 80 m

  • 170 m

  • 40 m


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49.

A ball is thrown vertically upwards with a velocity of 25 ms-1 from the top of a tower of height 30 m. How long will it travel before it hits ground ?

  • 6 s

  • 5 s

  • 4 s

  • 12 s


50.

To cover a population of 20 lakh, a transmission tower should have a height (Radius of earth = 6400 km, populatton per square km=1000)

  • 25 m

  • 50 m

  • 75 m

  • 100 m


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