Question

A particle moves from origin in xy plane with velocuty 3i+6xj find the equation if the path

Answer 1

Answer on Question #43570 – Physics - Mechanics | Kinematics | Dynamics

A particle moves from origin in xy plane with velocity $3i + 6xj$ and the equation if the path

Solution

$$v = 3i + 6xj$$

$v$ – velocity of the particle;

S – path followed by the particle

Equation if the path:

$$S(t) = \int_{0}^{t} v(t) \, dt = \int_{0}^{t} (3i + 6xj) \, dt = (3i + 6xj)t \mid \begin{array}{c} t \\ 0 \end{array} = (3i + 6xj)t$$

Answer: $(3i + 6xj)t$

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