A car, moving with a speed of 50 km/hr, can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is

(1) 6m

(2) 12m

(3) 18m

(4) 24m

Concept Questions :-

Uniformly accelerated motion
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A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of 1ms–2, the student starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is

1. 5 ms–1

2. 8 ms–1

3. 10 ms–1

4. 12 ms–1

Concept Questions :-

Relative motion in 1-D
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A body A moves with a uniform acceleration a and zero initial velocity. Another body B, starts from the same point moves in the same direction with a constant velocity v. The two bodies meet after a time t. The value of t is

1. $\frac{2v}{a}$

2. $\frac{v}{a}$

3. $\frac{v}{2a}$

4. $\sqrt{\frac{v}{2a}}$

Concept Questions :-

Uniformly accelerated motion
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A particle moves along X-axis in such a way that its coordinate X varies with time t according to the equation $x=\left(2-5t+6{t}^{2}\right)\text{\hspace{0.17em}}m$. The initial velocity of the particle is

(1) –5 m/s

(2) 6 m/s

(3) –3 m/s

(4) 3 m/

Concept Questions :-

Instantaneous speed and instantaneous velocity
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A car starts from rest and moves with uniform acceleration a on a straight road from time t = 0 to t = T. After that, a constant deceleration brings it to rest. In this process the average speed of the car is

(1) $\frac{aT}{4}$

(2) $\frac{3aT}{2}$

(3) $\frac{aT}{2}$

(4) aT

Concept Questions :-

Uniformly accelerated motion
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An object accelerates from rest to a velocity 27.5 m/s in 10 sec .Then find distance covered by object in next 10 sec

(1) 550 m

(2) 137.5 m

(3) 412.5 m

(4) 275 m

Concept Questions :-

Uniformly accelerated motion
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If the velocity of a particle is given by $v={\left(180-16x\right)}^{1/2}$m/s, then its acceleration will be

1. Zero

2. 8 m/s2

3. – 8 m/s2

4. 4 m/s

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The displacement of a particle is proportional to the cube of time elapsed. How does the acceleration of the particle depends on time obtained

(1) $a\propto {t}^{2}$

(2) $a\propto {t}^{4}$

(3) $a\propto {t}^{3}$

(4) $a\propto t$

Concept Questions :-

Acceleration
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Starting from rest, acceleration of a particle is $a=2\left(t-1\right).$ The velocity of the particle at $t=5s$ is

1. 15 m/sec

2. 25 m/sec

3. 5 m/sec

4. None of these

Concept Questions :-

Instantaneous speed and instantaneous velocity
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Speed of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is

(1) 1 : 1

(2) 1 : 4

(3) 1 : 8

(4) 1 : 16

Concept Questions :-

Acceleration