If body having initial velocity zero is moving with uniform acceleration 8 m/sec2 , then the distance travelled by it in fifth second will be

(1) 36 metres

(2) 40 metres

(3) 100 metres

(4) Zero

Concept Questions :-

Acceleration
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An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km/s. It is accelerated in the tube and comes out of it with a speed of 9 km/s. The time for which it remains inside the tube is

(1)

(2) $80×{10}^{-3}s$

(3) $800×{10}^{-3}s$

(4) $8×{10}^{-4}s$

Concept Questions :-

Uniformly accelerated motion
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Two cars A and B are travelling in the same direction with velocities v1 and v2 $\left({v}_{1}>{v}_{2}\right)$. When the car A is at a distance d behind car B, the driver of the car A applied the brake producing a uniform retardation a. There will be no collision when

1. $d<\frac{{\left({v}_{1}-{v}_{2}\right)}^{2}}{2a}$

2. $d<\frac{{v}_{1}^{2}-{v}_{2}^{2}}{2a}$

3. $d>\frac{{\left({v}_{1}-{v}_{2}\right)}^{2}}{2a}$

4. $d>\frac{{v}_{1}^{2}-{v}_{2}^{2}}{2a}$

Concept Questions :-

Relative motion in 1-D
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A body of mass 10 kg is moving with a constant velocity of 10 m/s. When a constant force acts for 4 seconds on it, it moves with a velocity 2 m/sec in the opposite direction. The acceleration produced in it is

(1) 3 m/sec2

(2) –3 m/sec2

(3) 0.3 m/sec2

(4) –0.3 m/sec2

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A body starts from rest from the origin with an acceleration of $6\text{\hspace{0.17em}}m/{s}^{2}$ along the x-axis and $8\text{\hspace{0.17em}}m/{s}^{2}$ along the y-axis. Its distance from the origin after 4 seconds will be

(1) 56 m

(2) 64 m

(3) 80 m

(4) 128 m

Concept Questions :-

Uniformly accelerated motion
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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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Difficulty Level:

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