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A person on a hang glider is spiraling upward due to rapidly rising air on a path having po- ition vector r(t) = (3 cos t)i + (3 sin t)j + tk. The path is similar to that of a helix (al- hough it's not a helix, as you will see in Section 13.4) and is shown in Figure 13.7 for ≤ i ≤ 4m. Find a) the velocity and acceleration vectors, b) the glider's speed at any time 1, c) the times if any when the glider's acceleration is orthogonal to its velocity

A person on a hang glider is spiraling upward due to rapidly rising air on a path having po- ition vector r(t) = (3 cos t)i + (3 sin t)j + tk. The path is similar to that of a helix (al- hough it's not a helix, as you will see in Section 13.4) and is shown in Figure 13.7 for ≤ i ≤ 4m. Find a) the velocity and acceleration vectors, b) the glider's speed at any time 1, c) the times if any when the glider's acceleration is orthogonal to its velocity

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Flight of a Hang Glider A person on a hang glider is spiraling upward due to rapidly rising air on a path having po- sition vector r(1) = (3 cos t)i + (3 sin r)j + tk. The path is similar to that of a helix (al- though it's not a helix, as you will see in Section 13.4) and is shown in Figure 13.7 for 0 s1s 4T. Find (a) the velocity and acceleration vectors, (b) the glider's speed at any time 1, (c) the times, if any, when the glider's acceleration is orthogonal to its velocity.
Transcribed Image Text:Flight of a Hang Glider A person on a hang glider is spiraling upward due to rapidly rising air on a path having po- sition vector r(1) = (3 cos t)i + (3 sin r)j + tk. The path is similar to that of a helix (al- though it's not a helix, as you will see in Section 13.4) and is shown in Figure 13.7 for 0 s1s 4T. Find (a) the velocity and acceleration vectors, (b) the glider's speed at any time 1, (c) the times, if any, when the glider's acceleration is orthogonal to its velocity.
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