APFIVE Velocity as the Derivative of Displacement
A particle’s displacement is given by $$s(t)= \sqrt{4*t+1}$$. Solve for the velocity ($$ds/dt$$) of the particle.
| t (s) | s(t) (m) |
|---|---|
| 0 | 1 |
| 1 | 2.236 (approx) |
| 4 | 4.123 (approx) |
A
$$\frac{2}{\sqrt{t+1}}$$
B
$$\frac{2}{\sqrt{4*t+1}}$$
C
$$\frac{4}{\sqrt{4*t+1}}$$
D
$$\frac{1}{\sqrt{4*t+1}}$$
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