Register
Find the distance traveled in 15 seconds by an object moving with a velocity of v(t)=20+7cos(t) feet per second.
152k views
5 votes
Find the distance traveled in 15 seconds by an object moving with a velocity of v(t)=20+7cos(t) feet per second.

User TheClassic
by
8.4k points

1 Answer

3 votes

s(t)= \int\limits^(15)_0 {v(t)} \, dt \\ =\int\limits^(15)_0 {(20+7cos(t))} \, dt \\ =[20t+7sin(t)]^(15)_0 \\ =(20(15)+7sin(15))-(20(0)+7sin(0)) \\ =300+1.812=301.812 \, feet
User Salma Gomaa
by
8.2k points
← Prev Question Next Question →

Related questions

User Smithee
asked Oct 15, 2024 94.1k views
Simplify: 7 sin(0) sec (0) A. 7cot(0) B. 7cos(0) C. 7tan(0) D. 7 The zero is the theta symbol
Smithee asked Oct 15, 2024
by Smithee
8.1k points
1 answer
4 votes
94.1k views
User SalmanShariati
asked Jul 6, 2024 30.9k views
Find the integral of (cos^(2)x-sin^(2)x)/(7cos^(2)xsin^(2)x)
SalmanShariati asked Jul 6, 2024
by SalmanShariati
8.7k points
1 answer
3 votes
30.9k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!