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A parachutist jumps out of an aircraft and some time l parachute. His speed at time t (in seconds) from wher opens (t = 0) is v = 8+22e-0.07t

A parachutist jumps out of an aircraft and some time l parachute. His speed at time t (in seconds) from wher opens (t = 0) is v = 8+22e-0.07t

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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10. A parachutist jumps out of an aircraft and some time later opens the parachute. His speed at time t (in seconds) from when the parachute opens (t = 0) is in m/s. Give your answers to the following questions correct to 2 decimal places. (a) What is the parachutist's speed when the parachute opens? (b) (c) v = 8+22e-0.07t (d) (e) (f) What is his speed after 60 seconds? Find the value of t when the parachutist is travelling at 20 m/s. Find a(t), the acceleration of the parachutist. Find the acceleration when the parachute opens. Sketch the graphs of v(t) and a(t) on separate graphs. (g) From your graph of v(t) from part (f), what will be the speed of the parachutist when he lands on the ground?
Transcribed Image Text:10. A parachutist jumps out of an aircraft and some time later opens the parachute. His speed at time t (in seconds) from when the parachute opens (t = 0) is in m/s. Give your answers to the following questions correct to 2 decimal places. (a) What is the parachutist's speed when the parachute opens? (b) (c) v = 8+22e-0.07t (d) (e) (f) What is his speed after 60 seconds? Find the value of t when the parachutist is travelling at 20 m/s. Find a(t), the acceleration of the parachutist. Find the acceleration when the parachute opens. Sketch the graphs of v(t) and a(t) on separate graphs. (g) From your graph of v(t) from part (f), what will be the speed of the parachutist when he lands on the ground?
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