# Introduction to acceleration

## Trending Questions

**Q.**The displacement of a body in 8 s, starting from rest, with an acceleration of 20 cm/s2 is

- 64 m
- 64 cm
- 640 cm
- 0.064 m

**Q.**For uniformly accelerated motion, both magnitude and

- strength
- direction
- speed

**Q.**A vehicle can accelerate or decelerate at a maximum value of 1 ms−2 and can attain a maximum speed of 20 ms−1. If it starts from rest, what is the shortest time in which it can travel 1000 m, in a straight path, if it has to come to rest at the end of 1000 m?

- 50 s
- 70 s
- 30 s
- 20 s

**Q.**

If a body starts from rest to the motion, its

$u=0$

$a=0$

velocity increases

velocity decreases

**Q.**A body is moving along a straight line. Its velocity-time graph is as shown. Choose the correct option.

- Displacement and distance covered by body are same.
- Initially motion is retarded, then accelerated.
- Average speed is zero.
- Initially, particle is moving towards origin and then away from origin.

**Q.**A car is speeding at 90 km/h in a restricted speed area. A police jeep starts from rest just as the speeder passes it and accelerates at a constant rate of 5 m/s2. Velocity of police jeep when it catches up with the speeder's car will be

**Q.**The displacement of a body in 8 s, starting from rest, with an acceleration of 20 cm/s2 is

- 64 m
- 64 cm
- 640 cm
- 0.064 m

**Q.**The retardation experienced by a moving motor boat after its engine is cut off, is given by dvdt=−8v2. If the magnitude of velocity at cut off is v0=3 m/s, the magnitude of the velocity 1 sec after the cut off is (in m/s)

- 325
- 2425
- 18
- 328

**Q.**The acceleration-displacement graph of a partice moving in a straight line is shown in the figure. Initial velocity of the particle is zero. Find the velocity of the particle when displacement of the particle is 12 m.

- 3√2 m/s
- 2√5 m/s
- 4 m/s
- 4√3 m/s

**Q.**

Give reason:

(b) An athlete always runs some distance before taking a jump.

**Q.**A particle with uniform retardation along a straight line distances a and b in successive intervals p and q seconds. The acceleration of the particle is

- 2(aq−bp)pq(p+q)
- 2(bp−aq)q(p+q)
- 2(aq+bp)pq(p+q)
- 2(aq−bp)pq(p−q)

**Q.**If velocity of a particle is given by v=2t−1, then find the acceleration of particle at t=2 s.

- 2 m/s2
- 4 m/s2
- 8 m/s2
- 6 m/s2

**Q.**On seeing a speed limit road sign, you apply brakes that bring your car from the speed of 30 m/s to a speed of 20 m/s, covering a distance of 100 m at a constant deceleration. How much time is required for the given decrease in speed?

- 3 s
- 4 s
- 2 s
- 5 s

**Q.**If a particle moves with a constant velocity,

- Its acceleration is positive
- Its acceleration is negative
- Its acceleration is zero
- Its speed is zero

**Q.**

If the velocity-time graph looks like this,

then acceleration is

- increasing
- constant
- zero

**Q.**The displacement of a particle varies with time t as: s=αt2−βt3. Determine the time (t) at which acceleration of the particle becomes 0.

- α3β
- αβ
- 3βα
- 2α3β

**Q.**What is the acceleration, if the body starts from the rest and travels a distance of s m in 2 seconds?

- 23s m/s2
- 32s m/s2
- 13s m/s2
- 12s m/s2

**Q.**A car starting from rest accelerates at the rate f through a distance s, then continues at constant speed for time t and then decelerates at rate f2 to come to rest. If the total distance covered is 15s, then which one is correct?

- s=ft272
- s=ft24
- s=ft26
- s=ft22

**Q.**A man loses 20% of his velocity after running through 108 m. If the rate by which he is losing his velocity remains constant, what is the maximum distance he will cover?

- 218 m
- 300 m
- 324 m
- 192 m

**Q.**If the velocity time graph is some straight line parallel to the x axis, then definitely, velocity is

- constant
- varying
- zero
- constant

**Q.**

**Assertion**: A positive acceleration of a body can be associated with a ‘slowing down’ of the body.

**Reason**: Acceleration is a vector quantity.

- If both assertion and reason are true and the reason is the correct explanation of the assertion.
- If both assertion and reason are true but reason is not the correct explanation of the assertion.
- If assertion is true but reason is false.
- If the assertion and reason both are false.
- If assertion is false but reason is true.

**Q.**Velocity - displacement graph of a particle moving in a straight line is as shown in figure

- magnitude of acceleration of particle is decreasing
- magnitude of acceleration of particle is increasing
- acceleration versus displacement graph is straight line
- acceleration versus displacement graph is parabola

**Q.**A body starts from orgin and moves along x-axis such that its velocity is v=(4t3−2t) m/s. Acceleration of particle when it is 2 m from origin is.

- 10 m/s2
- 20 m/s2
- 11 m/s2
- 22 m/s2

**Q.**The displacement (s) of a particle is proportional to the first power of time t, i.e., s∝t; then the acceleration of the particle is

- Infinite
- Zero
- A small finite value
- A large finite value

**Q.**

**Assertion:**A body can have an acceleration even if its velocity is zero at a given instant of time.

**Reason:**A body is momentarily at rest when it reverses its direction of motion.

- If both assertion and reason are true and the reason is correct explanation of the assertion
- If both assertion and reason are true, but reason is not correct explanation of the assertion
- The assertion is true, but the reason is false
- The assertion is false and reason is true

**Q.**An object moves velocity →v having constant accelaration →a. Which of the following expressions are variable quantities ?

- d|→v|dt
- ∣∣ ∣∣d→vdt∣∣ ∣∣
- d(|→v|2)dt
- d⎛⎜⎝→v−→|v|⎞⎟⎠dt