Question

Suppose the position of an object moving in a straight line is given by s (t )equals 5 t cubed minus 2 t squared plus 9. Find the instantaneous velocity when tequals7.

Answer 1

Step-by-step explanation:

s(t) = 5t³-2t²+9

Instantaneous velocity v = ds / dt

v = ds/dt = 15t²-4t

Putting t = 7

v = 15 x 7² - 4 x 7

= 707

Instantaneous velocity at t = 7

is 707 unit .