A car moving with a velocity of 10 m/s can be stopped by the application of a constant force F in a distance of 20 m. If the velocity of the car is 30 m/s, it can be stopped by this force in

(1) $\frac{20}{3}m$

(2) 20 m

(3) 60 m

(4) 180 m

Concept Questions :-

Uniformly accelerated motion
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The displacement of a particle is given by $y=a+bt+c{t}^{2}-d{t}^{4}$. The initial velocity and acceleration are respectively

1. $b,\text{\hspace{0.17em}}-4d$

2. $-b,\text{\hspace{0.17em}}2c$

3. $b,\text{\hspace{0.17em}}2c$

4. $2c,\text{\hspace{0.17em}}-4d$

Concept Questions :-

Uniformly accelerated motion
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A car moving with a speed of 40 km/h can be stopped by applying brakes for atleast 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance ?

(1) 8 m

(2) 2 m

(3) 4 m

(4) 6 m

Concept Questions :-

Uniformly accelerated motion
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An elevator car, whose floor to ceiling distance is equal to 2.7 m, starts ascending with constant acceleration of 1.2 ms–2. 2 sec after the start, a bolt begins falling from the ceiling of the car. The free fall time of the bolt is

(1) $\sqrt{0.54}\text{\hspace{0.17em}}s$

(2) $\sqrt{6}\text{\hspace{0.17em}}s$

(3) 0.7 s

(4) 1 s

Concept Questions :-

Relative motion in 1-D
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The displacement is given by $x=2{t}^{2}+t+5$, the acceleration at $t=2s$ is

(1) $4\text{\hspace{0.17em}\hspace{0.17em}}m/{s}^{2}$

(2) $8\text{\hspace{0.17em}\hspace{0.17em}}m/{s}^{2}$

(3) $10\text{\hspace{0.17em}\hspace{0.17em}}m/{s}^{2}$

(4) $15\text{\hspace{0.17em}\hspace{0.17em}}m/{s}^{2}$

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

Two trains travelling on the same track are approaching each other with equal speeds of 40 m/s. The drivers of the trains begin to decelerate simultaneously when they are just 2.0 km apart. Assuming the decelerations to be uniform and equal, the value of the deceleration to barely avoid collision should be

1. 11.8 m/s2

2. 11.0 m/s2

3. 1.6 m/s2

4. 0.8 m/s2

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

A body moves from rest with a constant acceleration of 5 m/s2. Its instantaneous speed (in m/s) at the end of 10 sec is

(1) 50

(2) 5

(3) 2

(4) 0.5

Concept Questions :-

Instantaneous speed and instantaneous velocity
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A boggy of uniformly moving train is suddenly detached from train and stops after covering some distance. The distance covered by the boggy and distance covered by the train in the same time has relation

(1) Both will be equal

(2) First will be half of second

(3) First will be 1/4 of second

(4) No definite ratio

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 3rd second

(1) $\frac{7}{5}$

(2) $\frac{5}{7}$

(3) $\frac{7}{3}$

(4) $\frac{3}{7}$

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

The acceleration ‘a’ in m/s2 of a particle is given by $a=3{t}^{2}+2t+2$ where t is the time. If the particle starts out with a velocity u = 2 m/s at t = 0, then the velocity at the end of 2 second is

1. 12 m/s

2. 18 m/s

3. 27 m/s

4. 36 m/s

Concept Questions :-

Instantaneous speed and instantaneous velocity