Physics · Classical Mechanics
The trajectory of a particle moving in a plane is expressed in polar coordinates (r, θ) by the equations r = r0eβt and dr/dt = ω, where the parameters r0, β, and ω are positive. Let vr and ar denote the velocity and acceleration, respectively, in the radial direction. For this trajectory:
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- 1dvr/dt > 0; however, ar = 0 for some choices of parameters✓
- 2dvr/dt > 0 and ar > 0 for all choices of parameters
- 3ar > 0 at all times irrespective of the values of the parameters
- 4ar < 0 at all times irrespective of the values of the parameters
Correct answer
dvr/dt > 0; however, ar = 0 for some choices of parameters
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