The coordinates of a moving particle at time t are given by x=ct2 and y=bt2. The speed of the particle is given by
Question
Solution 1
The speed of a particle is given by the magnitude of its velocity vector. The velocity vector of the particle is given by the derivative of its position vector with respect to time.
The x-component of the velocity is given by the derivative of x with respect to time, which is:
dx/dt = 2ct
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