Chapter . 5.5.006
Problem Statement
{1,2,3}
{4,5,6}
round((pow($b,3)-pow($a,3))/75+(pow($b,2)-pow($a,2))/2,2)
Find the displacement over the time interval [$a, $b] of a helicopter whose (vertical) velocity at time t is m/s.
Step 1
For an object in linear motion with velocity v(t), displacement (or change in height) during .
Question Sequence
Question
State the definite integral needed to find the displacement of the given helicopter.
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Correct.
That's not right. Check your work.
Incorrect.
Step 2
Question Sequence
Question
Evaluate the definite integral. Round your answer to two decimal places.
qjqZz1N+poo=
Incorrect. Do you see where you went wrong?
Excellent work.
Step 3
Question Sequence
Question
Thus, the displacement of the helicopter over the time interval [$a, $b]
qjqZz1N+poo=
Incorrect. Do you see where you went wrong?
Excellent work.