Physics · Uniformly accelerated motion, velocity-time, position-time graph, relations for uniformly accelerated motion, relative velocity
Displacement of a body is given by The value instantaneous acceleration is:
Displacement of a body is given by \( x= \) \( \mathbf{5}+\mathbf{3} t+\mathbf{2} t^{2} . \) The value instantaneous acceleration is:
- A. 4 units
- B. 6 units
- C. 5 units
- D. 2 units
Step-by-step solution
The displacement is x = 5 + 3t + 2t². Velocity v = dx/dt = 3 + 4t. Acceleration a = dv/dt = 4 units (constant). Hence instantaneous acceleration is 4 units.
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