A small flying toy drone is launched into the air, rises for a time, and then crashes to the ground. The drone's height above the ground, in metres, can be modelled by the function: h(t) = (-2t+8)e^t-3 where t is in seconds. a) How fast is the drone rising when it is launched? (to one decimal place, no units) b) At what time does the drone reach its maximum height? (no units) c) At what time does the drone crash? (no units) d) With what speed does the drone hit the ground? (to one decimal place, no units)
A small flying toy drone is launched into the air, rises for a time, and then crashes to the ground. The drone's height above the ground, in metres, can be modelled by the function: h(t) = (-2t+8)e^t-3 where t is in seconds. a) How fast is the drone rising when it is launched? (to one decimal place, no units) b) At what time does the drone reach its maximum height? (no units) c) At what time does the drone crash? (no units) d) With what speed does the drone hit the ground? (to one decimal place, no units)
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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A small flying toy drone is launched into the air, rises for a time, and then crashes to the ground. The drone's height above the ground, in metres, can be modelled by the function:
h(t) = (-2t+8)e^t-3
where t is in seconds.
where t is in seconds.
a) How fast is the drone rising when it is launched? (to one decimal place, no units)
b) At what time does the drone reach its maximum height? (no units)
c) At what time does the drone crash? (no units)
d) With what speed does the drone hit the ground? (to one decimal place, no units)
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