If the displacement, velocity, and acceleration of a particle at time t be x, v, and f respectively, then which one is true
Step 1: Given data
Displacement =
Velocity =
Acceleration =
Step 2: Formula used
Velocity can usually be written as:
Where is displacement.
Step 3: Calculation for acceleration
Velocity,
For that reason,
Differentiating with respect to 'x"
Multiplying and dividing on LHS, we get
Now, when we express in terms of velocity,
Since,
Hence, the correct answer is option B.