The x and y coordinates of a particle at any time t are x = 5t - 3t2 and y = 5t respectively, where x and y are in meter and t in second. The speed of the particle at t = 1 second is

Explanation:

Parametric Equation of the Velocity

Given the position of the particle at any time t as

The instantaneous velocity is the first derivative of the position:

The speed can be calculated as the magnitude of the velocity:

We are given the coordinates of the position of a particle as:

The coordinates of the velocity are:

Evaluating at t=1 s:

The velocity is:

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