Use the indicated methods to solve the following problems with nonuniform grids. A hot-air balloon is launched

Question:

Use the indicated methods to solve the following problems with nonuniform grids.

A hot-air balloon is launched from an elevation of 5400 ft above sea level. As it rises, its vertical velocity is computed using a device (called a variometer) that measures the change in atmospheric pressure. The vertical velocities at selected times are shown in the table (with units of ft/min).

t (min) 3.5 1.5 3 4 150 Velocity (ft/min) 100 120 110 90 80


a. Use the Trapezoid Rule to estimate the elevation of the balloon after five minutes. Remember that the balloon starts at an elevation of 5400 ft.

b. Use a right Riemann sum to estimate the elevation of the balloon after five minutes.

c. A polynomial that fits the data reasonably well is

g(t) = 3.49t3 - 43.21t2 + 142.43t - 1.75.

Estimate the elevation of the balloon after five minutes using this polynomial.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Question Posted: