An automobile moving at a speed of \(40~\text{km/hr} \) can be brought to rest by applying brakes over a distance of \(40 ~\text{m}.\) If the automobile were instead moving at \(80~\text{km/h},\) what would be its minimum stopping distance (assuming the braking force remains the same and no skidding occurs)?
1. \(150~\text{m}\)
2. \(100~\text{m}\)
3. \(75~\text{m}\)
4. \(160~\text{m}\)
Subtopic:  Uniformly Accelerated Motion |
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A car is going up a slight slope decelerating at \(0.1\) m/s2. It comes to a stop after going for \(5\) s. What was its initial velocity? 
1. \(0.02~\text {m/s}\)
2. \(0.25~\text {m/s}\)
3. \(0.5~\text{m/s}\)
4. \(1.0~\text{m/s}\)
Subtopic:  Uniformly Accelerated Motion |
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A bullet moving at speed of \(10\text{ m/s}\) hits the wooden plank and is stopped when it penetrates the plank \(50\text{ cm}\) deep. What is the retardation of bullet? (Assuming constant retardation)
1. \(100\text{ m/s}^2\)
2. \(1000\text{ m/s}^2\)
3. \(50\text{ m/s}^2\)
4. \(250\text{ m/s}^2\)

Subtopic:  Uniformly Accelerated Motion |
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A particle has initial velocity \(\left(2 \hat{i} + 3 \hat{j}\right)\) and acceleration \(\left(0 . 3 \hat{i} + 0 . 2 \hat{j}\right)\). The magnitude of velocity after \(10\) s will be:

1. \(9 \sqrt{2}~   \text{units}\) 2. \(5 \sqrt{2}  ~\text{ units}\)
3. \(5~\text{units}\) 4. \(9~\text{units}\)
Subtopic:  Uniformly Accelerated Motion |
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AIPMT - 2012

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During uniformly accelerated motion in a straight line, which of the following can be negative or positive?
1. distance travelled 2. time travelled
3. average velocity 4. average speed
Subtopic:  Uniformly Accelerated Motion |
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An object begins to move along the positive \(x\text-\)direction with an initial speed of \(10~\text{m/s}\) and a constant acceleration of \(2~\text{m/s}^2.\) How much time will it take to reach a speed of \(60~\text{m/s}\)?
1. \(25\) s 2. \(20\) s
3. \(30\) s 4. \(15\) s
Subtopic:  Uniformly Accelerated Motion |
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A stone is thrown vertically downwards with an initial velocity of \(40\) m/s from the top of a building. If it reaches the ground with a velocity of \(60\) m/s, then the height of the building is: (take \(g=10\) m/s2)

1. \(120\) m 2. \(140\) m
3. \(80\) m 4. \(100\) m
Subtopic:  Uniformly Accelerated Motion |
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NEET - 2022

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A particle starts from origin \(O\) from rest and moves with a uniform acceleration along the positive \(x\text-\)axis. Identify all figures that correctly represent the motion qualitatively.
(\(a=\) acceleration, \(v=\) velocity, \(x=\) displacement, \(t=\) time)

(A) (B)
(C) (D)

Choose the correct option from the given ones:
1. (A) only
2. (A), (B) and (D) only
3. (B) and (C) only
4. (A), (B) and (C) only
Subtopic:  Uniformly Accelerated Motion |
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JEE
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A person traveling at a speed of \(18~\text{km/h}\) applies the brakes, causing a retardation of \(2.5~\text{m/s}^2.\) How far will he travel before stopping?
1. \(50~\text{m}\) 2. \(5~\text{m}\)
3. \(25~\text{m}\) 4. \(64.8~\text{m}\)
Subtopic:  Uniformly Accelerated Motion |
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An object is thrown vertically upwards with velocity of \(60\) ms–1. After time of \(7\) s, its height above ground is:
(Take \(g=10\) ms–2)
1. \(245\) m
2. \(175\) m
3. \(305\) m
4. \(60\) m
Subtopic:  Uniformly Accelerated Motion |
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