Question

The position of a particle in the xy-plane at time t is r(t)=(et)i+(493e2t)j. Find an equation in x and y whose graph is the path of the particle.

Answer 1

The equation in x and y that represents the path of the particle is y = 493x^2e^2x.

Step-by-step explanation:

The equation in x and y that represents the path of the particle can be found by separating the given equation r(t) = (et)i + (493e2t)j into its x and y components. The x component is et and the y component is 493e2t. Therefore, the equation in x and y is y = 493x2e2x.

Learn more about Particle Motion