Question

The coordinates of a particle moving in x-y plane at any instant of time \(t\) is \(x = 4t^2\); \(y = 3t^2\). The speed of the particle at that instant is:

• A. \(10 t\)
• B. \(5 t\)
• C. \(3 t\)
• D. \(2 t\)

Hint:

Notice that \(x \propto t^2\) and \(y \propto t^2\). This means the particle is undergoing constant acceleration in both the x and y directions. Also, by dividing the equations we get \(\frac{y}{x} = \frac{3}{4}\), indicating the particle travels in a straight line trajectory.

Answer 1

The Correct Option is A