Substitute F(t) and v(t) into p(t) P(t) = F(t)v(t) = 90t4 - 180t³ - 7020t² + 37980t - 50310 The total energy required by the motor: t=3 Etotal Etotal = 3 = P(t)dt t=0 = (90t* - 180t³ – 7020t² + 37980t – 50310)dt Etotal = 3 - - *[90t4 – 180t³ – 70201² + 37980t – 50310]¦ - -
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Solve this
![Substitute F(t) and v(t) into p(t)
P(t) = F(t)v(t) = 90t4 - 180t³ - 7020t² + 37980t - 50310
The total energy required by the motor:
t=3
Etotal
Etotal =
3
=
P(t)dt
t=0
= (90t* - 180t³ – 7020t² + 37980t – 50310)dt
Etotal =
3
-
- *[90t4 – 180t³ – 70201² + 37980t – 50310]¦
-
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F697c75c1-2a37-42cc-9111-44c21abe6317%2Fbc5a7cdc-85b1-4f8b-a05c-ff476846a7f1%2Fgnoi7km_processed.png&w=3840&q=75)
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