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Acceleration - Practice Questions & MCQ

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

Quick Facts

  • 21 Questions around this concept.

Solve by difficulty

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

Concepts Covered - 1

Acceleration

Definition: Rate of change of velocity with time.

                           \vec a=\frac{change \ in \ velocity}{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 = LT^{-2}

  4. S.I unit =  ms^{-2}

 

Example: A car starting from rest accelerates uniformly to a speed of 75 m/s in 12 seconds. What is the car's acceleration?

Solution:  v_{i}= 0 (starting from rest)

                  v_{f}= 75 m/s

 From the definition of acceleration we know that, 

                                                                              a=\frac{v_{f}-v_{i}}{t}

                                                                                 =\frac{75-0}{12}

                                                                                 a = 6.25 m/s2

There are four types of acceleration

  • Average acceleration- Total change in velocity per unit time taken is the average acceleration

                                              Avg. \ acceleration(\vec a_{avg}) =\frac{\Delta \vec v}{\Delta t}

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

                                            Inst. \ acceleration(\vec a_{inst}) =\frac{d \vec v}{d t}

  • Uniform acceleration- Change in velocity per unit time is constant.
  • Non-uniform acceleration- Change in velocity per unit time is not constant.

Important terms related to acceleration:

  •  Positive Acceleration-

 If the change in velocity is directed towards a positive direction (left to right) then acceleration is positive.

  • Negative Acceleration-

 If the change in velocity is directed towards a negative direction (right to left) then acceleration is positive.

  • Speeding up or acceleration

If the velocity and acceleration are directed in the same direction

  • Slowing down or deceleration

If the velocity and acceleration are directed in the opposite direction

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Acceleration

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