Question

Given the position function s(t), s(t) = t3 + 4t, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 2 seconds.
a. 8 m/sec , 4 m/sec
b.10 m/sec, 3 m/sec
c.16 m/sec, 16 m/sec
d. 16 m/sec, 12 m/sec

Answer 1

Take the first derivative of \((t)=t^3+4t\) then substitute \(t=2\) to find the velocity.

Answer 2

Then take the second derivative and substitute \(t=2\) to find the acceleration.

Answer 3

ok, im doing it now

Answer 4

velocity=16
acce=12

Answer 5

Yes, you're correct! :)

Answer 6

yay!!!! Thank you!