Motion in a Straight Line
- A body starts from rest, what is the ratio of the distance travelled by the body during the 4th and 3rd seconds ?
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D4 = 0 + (a/2) × (2 × 4 - 1) = 7 D3 0 + (a/2) (2 × 3 - 1) 5 Correct Option: A
D4 = 0 + (a/2) × (2 × 4 - 1) = 7 D3 0 + (a/2) (2 × 3 - 1) 5
- Which of the following curve does not represent motion in one dimension?
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In one dimensional motion, the body can have at a time one velocity but not two values of velocities.
Correct Option: B
In one dimensional motion, the body can have at a time one velocity but not two values of velocities.
- A boy standing at the top of a tower of 20m height drops a stone. Assuming g = 10 ms–2, the velocity with which it hits the ground is
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Here, u = 0
We have, v² = u² + 2gh
⇒ v = √2gh = √2 × 10 × 20 = 20 m/sCorrect Option: B
Here, u = 0
We have, v² = u² + 2gh
⇒ v = √2gh = √2 × 10 × 20 = 20 m/s
- A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 m/s. When the stone reaches the floor, the distance of the man above the floor will be:
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No external force is acting, therefore, momentum is conserved.
By momentum conservation,
50 u + 0.5 × 2 = 0
where u is the velocity of man.u = - 1 ms-1 50
Negative sign of u shows that man moves upward.
Time taken by the stone to reach the ground = 10/2 = 5s
Distance moved by the man 5 × (1/50) = 0.1 m
∴ when the stone reaches the floor, the distance of the man above floor = 10.1 mCorrect Option: B
No external force is acting, therefore, momentum is conserved.
By momentum conservation,
50 u + 0.5 × 2 = 0
where u is the velocity of man.u = - 1 ms-1 50
Negative sign of u shows that man moves upward.
Time taken by the stone to reach the ground = 10/2 = 5s
Distance moved by the man 5 × (1/50) = 0.1 m
∴ when the stone reaches the floor, the distance of the man above floor = 10.1 m
- A ball is thrown vertically upward. It has a speed of 10 m/sec when it has reached one half of its maximum height. How high does the ball rise?
Take g = 10 m/s².
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For part AB
From 3rd equation of motion
v² = u² – 2gH
0 = u² – 2g(H/2) = u² – gHH = u² = 10² = 10 m g 10 Correct Option: A
For part AB
From 3rd equation of motion
v² = u² – 2gH
0 = u² – 2g(H/2) = u² – gHH = u² = 10² = 10 m g 10