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Acceleration - Practice Questions & MCQ

Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • 45 Questions around this concept.

Solve by difficulty

The displacement vs time graph is given below which of the following conclusions is correct?

Four velocity time graphs (Namely I , II , III , IV ) are shown in the figure. In which case is the acceleration uniform and positive

A car moving with 72 km/hr comes to rest in 5 second its acceleration is: (in m/s2)

A particle is moving eastwards with a velocity of  5 m/s. In 10 s the velocity changes to 5 m/s northwards. The average acceleration in this time is

Match the following for the acceleration of a moving particle 

P) Velocity increasing with time        1) zero 

Q ) Velocity decreasing with time       2) positive 

R )Velocity  constant with time            3) Negative  

A car starts from rest. Its velocity after 5 sec is 10 m/s then the average acceleration of the car is :

Direction: In the following question, a statement of Assertion (A) is followed by a statement of reason (R). Mark the correct choice as :

Assertion: A body can have acceleration even if its velocity is zero at a given instant in time 

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

 

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If the body is moving along the x-axis with an initial velocity equal to 2 m/s is accelerated to a final velocity of -6 m/s in 2 seconds. The average acceleration of the body is?

If x denotes displacement in x and x=a cost, then acceleration is :

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The position, velocity and acceleration of a particle moving with constant acceleration can be represented by :

 

Concepts Covered - 1

Acceleration
  1. Definition: Rate of change of velocity with time.

    $$
    \vec{a}=\frac{\text { change in velocity }}{\text { time taken }}=\frac{\vec{v}_f-\vec{v}_i}{t}
    $$

    - Tips for Acceleration-
    1. The body is said to have undergone acceleration if there is a change in velocity i.e., :
    - Change in speed
    - Change in direction
    - Change in both
    2. It is a vector quantity
    3. Dimension $=L T^{-2}$
    4. S.I unit $=m \mathrm{~s}^{-2}$

    Example: A car starting from rest accelerates uniformly to a speed of $75 \mathrm{~m} / \mathrm{s}$ in 12 seconds. What is the car's acceleration?
    Solution: $v_i=0$ (starting from rest)

    $$
    v_f=75 \mathrm{~m} / \mathrm{s}
    $$


    From the definition of acceleration we know that,

    $$
    \begin{aligned}
    a & =\frac{v_f-v_i}{t} \\
    & =\frac{75-0}{12}
    \end{aligned}
    $$
     

                                           

    $$
    \mathrm{a}=6.25 \mathrm{~m} / \mathrm{s}^2
    $$


    There are four types of acceleration
    - Average acceleration- Total change in velocity per unit time taken is the average acceleration

    $$
    \text { Avg. acceleration }\left(\vec{a}_{a v g}\right)=\frac{\Delta \vec{v}}{\Delta t}
    $$

    - Instantaneous acceleration - Infinitesimal change in velocity per unit time taken is the average acceleration

    $$
    \text { Inst. acceleration }\left(\vec{a}_{\text {inst }}\right)=\frac{d \vec{v}}{d t}
    $$
     

  2. Uniform acceleration- Change in velocity per unit time is constant.
  3. Non-uniform acceleration- Change in velocity per unit time is not constant. If the velocity and acceleration are directed in the opposite direction
  • Slowing down or deceleration  If the change in velocity is directed towards a negative direction (right to left) then acceleration is positive.
  • Speeding up or acceleration If the change in velocity is directed towards a positive direction (left to right) then acceleration is positive.
  • Negative Acceleration- Important terms related to acceleration.

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Acceleration

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