A particle moves along the x-axis. Its position x as a function of time t is given by x(t) = 4 $t^2$ - 2t + 3, where x is measured in metres and t in seconds. The velocity of the particle at t = 2 s is:
Options

Question

A particle moves along the x-axis. Its position x as a function of time t is given by x(t) = 4t^2 - 2t + 3, where x is measured in metres and t in seconds. The velocity of the particle at t = 2 s is:

G1 Physics · Accepted Answer

Velocity v = dx/dt = 8t - 2. At t = 2 s, v = 8(2) - 2 = 14 m/s. Hence, option C is correct.