quiz-ch-3-motion-in-a-straight-line hard part-2

Welcome to your Part 2-Motion in a straight line hard

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A ship moves along the equator to the east with a speed 30 km/h. Southeastern wind blows 60^o to the east with 15 kmh^-1. Find the wind velocity relative to the ship.

39.7 kmh^-1, tan^-11/5 N of W

23.7 kmh^-1, tan^-11/3 N of W

37.5 klmh^-1, tan^-1 1/5 N of E

None of these

The first stage of the rocket launches a satellite to a height of 50 km and velocity attained is 6000 kmh^-1 at which point its fuel exhausted. How high the rocket will reach?

138.9 km

188.9 km

88.9 km

168.9 km

A man riding on a flat car moving with 10 ms^-1. He attempts to throw a ball through a stationary hoop 5 m above his hand such that the ball moves horizontally through the hoop. He throws the ball with 12 ms^-1 with respect to himself. Find the horizontal distance from where he throws the ball

15 m

14.2 m

16.7 m

18.2 m

a body standing on a long railroad car throws a ball straight upwards, the car is moving on the horizontal road with an acceleration 1 ms^-2. The vertical velocity given is 9.8 ms^-1. How far behind the body the ball will fall on the railroad car?

1 m

3/2 m

7/4 m

2 m

A person is standing on a truck moving with 14.7 ms^-1 on a horizontal road. He throws a ball so that it returns to him when the truck has moved 58.8 m. Find the speed of the ball and angle of projection as seen by a man standing on the road.

22.5 ms^-1, 53⁰

24.5 ms^-1, 53⁰

19.6 ms^-1, vertical

None of these

Six person are situated at the corners of a hexagon of side l. They move at a constant speed v. Each person maintains a direction towards the person at the next corner. When will the person meet?

l/v

2l/3v

3l/2v

2l/v

The compass needle of the airplane shows it is heading due North and speedmeter indicates a velocity 240 kmh^-1. Wind is blowing 100 kmh^-1 due east. Find the velocity of airplane with respect to earth.

260 ms^-1, 23⁰ E of N

260 ms^-1, 23⁰ W

260 ms^-1, 32⁰ E of N

None

In an exhibition, you win a prize if you toss a coin into a small dish placed. The dish is on a sheep 2.1 m away at a height h from the hand. The coin is tossed into the dish if its velocity is 6.4 ms^-1 at an angle of 60⁰. Find h.

1.2 m

1.35 m

1.5 m

1.65 m

A player throws a ball upwards with an initial speed of 29.4 ms^-1. The height to which the ball rises and the time taken to reach the player's hands are

22.05 m, 38 s

44.1 m, 6s`

29.4 m, 6s

54.5 m, 9s

A vehicle moves west with a speed of 50 ms^-1 and then towards north with a speed of 50 ms^-1 Total time taken by the body is 5s. What is the average acceleration of the body?

50ms^-2

14ms^-2

20.4 ms^-2

A wall clock has a 5 cm long minute hand. The average velocity of the tip of the hand reaching 0600 hrs. to 1830 hrs. is

2.2 × 10^-14 cms^-1

1.2 × 10 ^-4cms^-1

5.6 × 10 ^-3 cms^-1

3.2 × 10^-3 cms^-1

A particle experiences a fixed acceleration for 6s after starting from rest. It covers a distance of s₁in first two seconds, s₂in the next 2 seconds and s₃in the last 2 seconds then s₃: s₂: s₁is

1:3:5

5:3: 1

1:2:3

3 :2 :1

A girl standing on a pedstal at rest throws a ball upwards with maximum possible speed of 50 ms^-1. If the platform starts moving up at 5 ms^-1 and the girl again throws the similar ball in similar way. The time taken in the previous case and the lime taken in the second case to return to her hands are

10 s, 5 s

5 s, 10 s

10 s, 10s

5 s, 5s

An aeroplane drops a parachutist. After covering a distance of 40 m, he opens the parachute and retards at 2 ms^-2. If he reaches the ground with a speed of 2 m^-1, he remains in the air for about

16s

13 s

10 s

What is the maximum range that a ball thrown with a speed of 40 ms^-1 can cover without hitting the 25 m high ceiling of a long hall?

150.5 m

100.25 m

110.3 m

200.5 m

A lift moves upward with an acceleration of 1.2 ms^-2. A nail falls from the ceiling of the lift 3 m above the floor of the lift, Distance of its fall with reference to the shaft of the lift is

0.75 m

0.5 m

1 m

1.5m

A body travels 200 cm in the first two seconds and 220 cm in the next four seconds. What will be the velocity at the end of 7th second from the start?

10 cms^-1

20 cms^-1

15 cms^-1

5cms^-1

The displacement x of a particle moving in one dimension is related to time by the equation t = (√x +3), where x is in m and t in s. The displacement, when velocity is zero, is

4 m

Zero

A boat having a speed of 5 km/hr in still waters, crosses a river of width 1 km along the shortest possible path in 15 minutes. The speed of the river water in km/h is

√41

A particle moving in a straight line covers half the distance with speed 3 ms^-1. The other half is covered in two equal time intervals with speeds 4.5 ms^-1and 7.5 ms^-1, respectively. The average speed of the particle during motion is

4 ms^-1

5ms^-1

5.5 ms^-1

4.8 ms^-1

A particle in uniformly accelerated motion travels a, b and c distances in xth, yth, and zth second of its motion, respectively. Then a(y - z) + b(z - x) + c (x - y) =

A particle moves with an initial velocity v₀and retardation αv, where v is its velocity at any time t.

The particle will cover a total distance v₀ /α.

The particle will come to rest after a time 1/α.

The particle will continue to move for a very long time.

The velocity of the particle will become v₀/2 after a time 1 la.

A body when projected vertically up, covers a total distance D during its time of flight. If there were no gravity, the distance covered by it during the same time is equal to

A particle is projected vertically upward with initial velocity 25 ms^-1. During third second of its motion, which of the following statement is correct?

Displacement of the particle is 30 m

Distance covered by the particle is 30 m

Distance covered by the particle is 2.5 m

None of these

The motion of a particle moving along the y-axis is represented as y = 3 (t – 2) + 5 (t – 2)². Identify the correct statement -

The initial (t = 0) velocity of the particle is3 ms^–1

The acceleration of the particle is 5 ms^–2

The particle is at the origin at t = 2s

All of the above

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