The equation of motion of an object is x=3+7t-8t^2. What is the velocity of the object at the time t=2.5 s?
The displacement of the object is given by x = 3 + 7t - 8t^2.
The velocity is the first derivative of the expression for the displacement with respect to time.
v = `dx/dt ` = (3 + 7t - 8t^2)'
=> 0 + 7 - 16t
At t = 2.5, the velocity is 7 - 16*2.5 = -33
The velocity of the object at time t = 2.5 is -33 units/s^2.