Deck 7: Extension D: Differential Equations

Question 1

A hawk flying at an altitude of m accidentally drops its prey.The parabolic trajectory of the falling prey is described by the equation until it hits the ground,where y is its height above the ground and x is the horizontal distance traveled in meters.
The distance traveled by the prey from the time it is dropped until the time it hits the ground is
approximately m.

Answer 1

True

Question 2

Set up,but do not evaluate,an integral for the length of the curve.

Answer 2

Question 3

Find the arc length function for the curve with starting point

A)
B)
C)
D)
E)

Answer 3

Question 4

Use the arc length formula to find the length of the curve.

Question 5

Find the length of the curve.

A)
B)
C)
D)
E)

Question 6

A steady wind blows a kite due west.The kite's height above ground from horizontal position to ft is given by Find the distance traveled by the kite.
Give your answer rounded to two decimal places.

Question 7

Find the length of the curve.

A) 36.05
B)
C) 13.05
D) 25.05
E) None of these

Question 8

Use Simpson's Rule with n = 6 to estimate the length of the curve , Round your answer to six decimal places.

A) 6.972089
B) 6.987208
C) 6.947368
D) 6.947582
E) None of these