回 Practice c. After how many seconds will the drone come back to the height of its platform?
回 Practice c. After how many seconds will the drone come back to the height of its platform?
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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Transcribed Image Text:### Question:
c. After how many seconds will the drone come back to the height of its platform?
(Note: There are no graphs or diagrams associated with this question.)
![**Use Patterns and Structure**
The height of a drone, in meters, above its launching platform that is 5 meters above the ground, is modeled by the equation:
\[ y = 0.1x^2 - 1.5x + 5 \]
where \( x \) is the time in seconds. The drone leaves the launch pad, flies down into a canyon, and then it flies back up again.
*Illustration Description:*
There is a diagram depicting a drone flying through a canyon. The canyon walls are illustrated, with a labeled height of 5 meters indicating the launch platform's position above the ground. The equation \( y = 0.1x^2 - 1.5x + 5 \) is shown alongside the drone.
---
**Questions:**
a. What is the factored form of the equation for the height of the drone?
b. After how many seconds will the drone be at ground level?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f770cdb-05dc-4ce8-9f54-6d87088669bc%2Fb6306406-5150-4aad-9654-dbdce214e946%2F8z7hmk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Use Patterns and Structure**
The height of a drone, in meters, above its launching platform that is 5 meters above the ground, is modeled by the equation:
\[ y = 0.1x^2 - 1.5x + 5 \]
where \( x \) is the time in seconds. The drone leaves the launch pad, flies down into a canyon, and then it flies back up again.
*Illustration Description:*
There is a diagram depicting a drone flying through a canyon. The canyon walls are illustrated, with a labeled height of 5 meters indicating the launch platform's position above the ground. The equation \( y = 0.1x^2 - 1.5x + 5 \) is shown alongside the drone.
---
**Questions:**
a. What is the factored form of the equation for the height of the drone?
b. After how many seconds will the drone be at ground level?
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