Question

A particle moves along the x-axis so that at time t>=0 its velocity is given by v(t)=-2t+5. Determine the speed of the particle at t=2.

Answer 1

The speed of the particle at t=2 is 1 m/s, which is the absolute value of the velocity calculated using the provided equation.

Step-by-step explanation:

The question asks to determine the speed of a particle at a given time when its velocity is provided by the equation v(t) = -2t + 5. The speed is the magnitude of the velocity vector, which means taking the absolute value of the velocity. At time t=2 seconds, the velocity function yields v(2) = -2(2) + 5 = 1 m/s. Therefore, the speed of the particle at t=2 is 1 m/s.