Consider the following problem. Find the distance traveled in 20 seconds by an o
ID: 3139971 • Letter: C
Question
Consider the following problem.Find the distance traveled in 20 seconds by an object traveling at a velocity of v(t) = 20 + 4cos(t) feet per second.
Decide whether the problem can be solved using precalculus, or whether calculus is required.
The problem can be solved using precalculus.
The problem requires calculus to be solved.
If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. (Round your answer to the nearest foot.)
Explanation / Answer
v(t) = 20 + 4 cos(t) this problem can also be solved as: v(20) = 20+4cos 20 =>v = 23.75 ft/sec distance travelled in 20 secs = v*t = 23.75*20 =475.175 ft