Question

Calculate the velocity and acceleration ⃗=x²^−xy^.

Answer 1

To calculate the velocity and acceleration of the given equation x²^−xy^, differentiate it with respect to time.

Step-by-step explanation:

To calculate the velocity and acceleration, we need to differentiate the given equation. Let's differentiate the equation with respect to time:

v = (dx^2/dt) - (x(dy/dt))

Now, by using the chain rule, we can expand the differentiation:

v = 2x(dx/dt) - (x(dy/dt))

Similarly, to find acceleration, we can differentiate velocity with respect to time:

a = d^2x/dt^2 - (dx/dt)(dy/dt)

Therefore, the velocity is given by v = 2x(dx/dt) - (x(dy/dt)) and the acceleration is given by a = d^2x/dt^2 - (dx/dt)(dy/dt).