Question

A particle’s position at time t is given by x = 2t² - 8t, where t is in seconds. What is the particle's velocity at time t?

a) 4t - 8
b) 4t - 8t
c) 4t + 8
d) 4t + 8t

Answer 1

The particle's velocity is 4t - 8.

Step-by-step explanation:

The particle's velocity is the derivative of the position function with respect to time. In this case, the position function is x = 2t² - 8t.

To find the velocity, we take the derivative of x with respect to t.

v(t) = d/dt(2t² - 8t)

v(t) = 4t - 8

So, the particle's velocity at time t is 4t - 8.