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QPage 48-49: Q10.2: HC Verma: Concepts of Physics - Volume 1 Chapter-3 Rest and Motion Kinematics Page 48-49: Q10.2 Solution: Give example where the velocity is opposite in direction to the …

Give example where the velocity is opposite in direction to the acc....

Step-by-Step Verified Solution

Classic Example 1: A Ball Thrown Vertically Upward (On the Way Up)

  1. You throw a ball straight up with an initial upward velocity.
  2. While it is going up:
  3. Velocity (v) = upward (positive).
  4. Acceleration (a) = downward (gravity = –g, negative).
  5. The acceleration is opposite to the velocity.

At any point during the upward journey (except the very top):

v is upward, a is downward → They are opposite in direction.

Classic Example 2: A Car Braking While Moving Forward

  1. A car is moving forward (say, East).
  2. The driver applies the brakes.
  3. The braking force causes an acceleration backward (West).
  4. While the car is still rolling forward but slowing down:
  5. Velocity (v) = forward (East).
  6. Acceleration (a) = backward (West, negative acceleration).

So:

v is East, a is West → They are opposite in direction.

Classic Example 3: A Ball Thrown Upward on the Way Down? (No—Check This!)

  1. On the way down, the ball's velocity is downward.
  2. Acceleration due to gravity is still downward.
  3. So on the way down, velocity and acceleration are in the same direction (speeding up).

So the opposite condition only happens on the way up (for a vertical throw) or whenever an object is decelerating.

Classic Example 4: A Simple Pendulum (On the Outward Swing)

  1. A pendulum bob swinging to the right.
  2. At a point on the outward swing (moving away from the equilibrium position):
  3. Velocity is directed away from the center (say, rightward).
  4. Acceleration (restoring force) is directed towards the center (leftward).
  5. So velocity and acceleration are opposite at that instant.

Classic Example 5: A Particle in SHM Moving Away from Mean Position

  1. A mass-spring system oscillating.
  2. When the mass is moving away from the mean position (say, towards the right extreme):
  3. Velocity is directed rightward.
  4. Acceleration (restoring force) is directed leftward (towards the mean position).
  5. So they are opposite in direction.


All Questions in this Chapter

QP 49-50: Q1 QP 49-50: Q2 QP 49-50: Q3 QP 49-50: Q4 QP 49-50: Q5 QP 49-50: Q6 QP 49-50: Q7 QP 49-50: Q8 QP 49-50: Q9 QP 49-50: Q10 QP 49-50: Q11 QP 49-50: Q12 QP 49-50: Q13 QP 50-51: Q1 QP 50-51: Q2 QP 50-51: Q3 QP 50-51: Q4 QP 50-51: Q5 QP 50-51: Q6 QP 50-51: Q7 QP 50-51: Q8 QP 50-51: Q9 QP 50-51: Q10 QP 51-54: Q1 QP 51-54: Q2 QP 51-54: Q3.1 QP 51-54: Q3.2 QP 51-54: Q3.3 QP 51-54: Q3.4 QP 51-54: Q4.1 QP 51-54: Q4.2 QP 51-54: Q5 QP 51-54: Q6 QP 51-54: Q7 QP 51-54: Q8.1 QP 51-54: Q8.2 QP 51-54: Q8.3 QP 51-54: Q9.1 QP 51-54: Q9.2 QP 51-54: Q10 QP 51-54: Q11 QP 51-54: Q12 QP 51-54: Q13 QP 51-54: Q14 QP 51-54: Q15.1 QP 51-54: Q15.2 QP 51-54: Q15.3 QP 51-54: Q16 QP 51-54: Q17 QP 51-54: Q18.1 QP 51-54: Q18.2 QP 51-54: Q19 QP 51-54: Q20 QP 51-54: Q21 QP 51-54: Q22 QP 51-54: Q23.1 QP 51-54: Q23.2 QP 51-54: Q23.3 QP 51-54: Q24 QP 51-54: Q25.1 QP 51-54: Q25.2 QP 51-54: Q25.3 QP 51-54: Q26 QP 51-54: Q27 QP 51-54: Q28 QP 51-54: Q29 QP 51-54: Q30 QP 51-54: Q31 QP 51-54: Q32.1 QP 51-54: Q32.2 QP 51-54: Q32.3 QP 51-54: Q33.1 QP 51-54: Q33.2 QP 51-54: Q34 QP 51-54: Q35 QP 51-54: Q36 QP 51-54: Q37 QP 51-54: Q38 QP 51-54: Q39 QP 51-54: Q40 QP 51-54: Q41 QP 51-54: Q42 QP 51-54: Q43.1 QP 51-54: Q43.2 QP 51-54: Q44 QP 51-54: Q45 QP 51-54: Q46.1 QP 51-54: Q46.2 QP 51-54: Q47.1 QP 51-54: Q47.2 QP 51-54: Q48 QP 51-54: Q49.1 QP 51-54: Q49.2 QP 51-54: Q50 QP 51-54: Q51 QP 51-54: Q52 QPage 48-49: Q1 QPage 48-49: Q2 QPage 48-49: Q3 QPage 48-49: Q4 QPage 48-49: Q5 QPage 48-49: Q6 QPage 48-49: Q7 QPage 48-49: Q8 QPage 48-49: Q9 QPage 48-49: Q10.1 QPage 48-49: Q10.2 QPage 48-49: Q10.3 QPage 48-49: Q11 QPage 48-49: Q12 QPage 48-49: Q13 QPage 48-49: Q14

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