Asked by Anonymous
How do I solve this problem without integrals or derivatives?
Find the distance traveled in 14 seconds by an object that is moving with a velocity of v(t) = 11 + 6cos t feet per second.
A. 154.8204
B. 156.1704
C. 159.9436
Find the distance traveled in 14 seconds by an object that is moving with a velocity of v(t) = 11 + 6cos t feet per second.
A. 154.8204
B. 156.1704
C. 159.9436
Answers
Answered by
Steve
I don't see any way, other than numerical approximations. The velocity is not a nice linear function, so only an integral can give an exact answer
∫[0,14] (11+6cosx) dx
∫[0,14] (11+6cosx) dx
Answered by
Anonymous
How do I get the numerical approximations?
Answered by
Steve
Riemann sums, trapezoidal method.
google numerical integration or quadrature
google numerical integration or quadrature
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