Question

If x= 6t^2+7t then find the instantaneous velocity of t=0s,t=2s and t=4s. Plzzzzz repy

Answer 1

Answer:

i) v = 7 m/s.

ii) v = 31 m/s.

iii) v = 55 m/s.

Explanation:

We know that velocity, v = dx/dt.

GIven, x = 6t²+7t

Therefore v = d/dt ( 6t² + 7t)

v = 6 d/dt (t²) + 7 d/dt (t)

Math help: d/dx (xⁿ) = n x ⁿ⁻¹.

∴ v = 12t + 7

i) t = 0 s

v = 7 m/s.

ii) t = 2 s

v = 12(2) + 7

v = 31 m/s.

iii) t = 4 s

v = 48 + 7

v = 55 m/s.