A body falling from rest describes distances S_{1}, S_{2} and S_{3} in the first, second and third seconds of its fall. The ratio of S_{1} : S_{2} : S_{3} is

(A)

1 : 2 : 3

(B)

1 : 3 : 5

(C)

1 : 1 : 1

(D)

1 : 4 : 9

Question-2

A car moves a distance of 200 m. It covers the first-half of the distance at speed v. The average speed is 48 km/h. Find the value of v.

(A)

56 km/h

(B)

60 km/h

(C)

50 km/h

(D)

48 km/h

Question-3

Three different objects of masses m_{1}, m_{2} and m_{3} are allowed to fall from rest and from the same point O along three different friction less paths. The speeds of the three objects on reaching the ground will be in the ratio of

(A)

m_{1}: m_{2} : m_{3}

(B)

m_{1} : 2m_{2 }: 3m_{3}

(C)

1 : 1 : 1

(D)

Question-4

A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity 30 km/h and 40 km/h respectively. The velocity of the car midway between P and Q is

(A)

33.3 km/h

(B)

20 √2 km/h

(C)

25 √2 km/h

(D)

0.35 km/h

Question-5

One train A 120 m long is moving in a direction with a speed of 20 m/s. Another train B 130 m long is moving with a speed of 30 m/s in the opposite direction. The train B crosses the train A in a time

(A)

5 s

(B)

36 s

(C)

38 s

(D)

10 s

Question-6

A car covers the first – half of the distance between two places at 40 km/h and other half at 60km/h. The average speed of the car is

(A)

40 km/h

(B)

48 km/h

(C)

50 km/h

(D)

60 km/h

Question-7

The ratios of the distance covered by a freely falling particle, starting from rest in the first, second, third ... nth seconds of its motion

(A)

Form the series corresponding to the squares of the first n natural numbers

(B)

Form an A.P.

(C)

Form a series corresponding to the difference of the squares of the successive natural numbers

(D)

Both choices (b) and (c) are correct

Question-8

What will be ratio of the distance moved by a freely falling body from rest in 4^{th} and 5^{th} seconds of journey?

(A)

4 : 5

(B)

7 : 9

(C)

16 : 25

(D)

1 : 1

Question-9

An athlete completes one round of a circular track of radius r in 40 seconds. What will be his displacement at the end of 2 min and 20 seconds?

(A)

zero

(B)

2 R

(C)

2 π R

(D)

7 π R

Question-10

The velocity of a body depends upon time according to the equation v = 20 + 0.lt^{2}. The body is undergoing

(A)

uniform acceleration

(B)

uniform retardation

(C)

non-uniform acceleration

(D)

zero acceleration

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