If an object moves along a line so that it is at y = f(x) = 10x² at time x (in seconds), find the velocity at x =1 (y is measured in feet).

A)20 ft/s
B)10 ft/s
C) 6 ft/sec
D) 200 ft/s

Question

If an object moves along a line so that it is at y = f(x) = 10x² at time x (in seconds), find the velocity at x =1 (y is measured in feet).

A)20 ft/s 
B)10 ft/s 
C) 6 ft/sec 
D) 200 ft/s

Quizplus · Accepted Answer

The velocity is the derivative of the position function. The derivative of f(x) = 10x² is f'(x) = 20x. At x = 1, the velocity is f'(1) = 20(1) = 20 ft/s.

If an Object Moves Along a Line So That It