Question

the motion of an object is given by the displacement function s(t)=2t^3-7t^2+4t+1
where time is measured in second and distance is measured in meters
a) use calculus to find the velocity and acceleration as a function of time
b)find the velocity and acceleration when t=2seconds
c)when is the object momentarily at rest?

Answer 1

velocity is the first derivative
acceleration is the second.

Answer 2

got my velocity as zero and acceleration as 10

Answer 3

but not sure

Answer 4

v(t)=6t^2-14t+4

Answer 5

a(t)=12t-14

Answer 6

T\[s'=v=6t^2-14t+4\]

Answer 7

\[s''=a=12t-14\]

Answer 8

so the answer to the b)part is zero and 10?

Answer 9

v(2)=0
a(2)=10

Answer 10

yep

Answer 11

the c)part

Answer 12

??

Answer 13

Would that not be when the velocity and acceleration are both 0?

Answer 14

yeah it should be

Answer 15

thanks alot

Answer 16

yw

Answer 17

I got .86 sec and 3.47 sec