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-00 8 (a) A parachutist jumps out of an aircraft and sometime later opens the parachute. His speed at time t (in seconds) from when the parachute opens is given by v = 8+22e-0.07t (in m/s) (i) What is the parachutist's speed when the parachute opens? What is his speed after 60 seconds? (ii) Find the value of t when the parachutist is travelling at 20 m/s. (iii) Find the acceleration a(t) of the parachutist, and find its value when the parachute opens.

-00 8 (a) A parachutist jumps out of an aircraft and sometime later opens the parachute. His speed at time t (in seconds) from when the parachute opens is given by v = 8+22e-0.07t (in m/s) (i) What is the parachutist's speed when the parachute opens? What is his speed after 60 seconds? (ii) Find the value of t when the parachutist is travelling at 20 m/s. (iii) Find the acceleration a(t) of the parachutist, and find its value when the parachute opens.

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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Please can a math expert help break this past-paper A-level question down and answer all parts so I know how to do it myself in the future! Thank you

8 (a) A parachutist jumps out of an aircraft and sometime later opens the parachute. His speed at time t (in seconds) from when the parachute opens is given by v = 8+22e-0.07t (in m/s) (i) What is the parachutist's speed when the parachute opens? What is his speed after 60 seconds? (ii) Find the value of t when the parachutist is travelling at 20 m/s. (iii) Find the acceleration a(t) of the parachutist, and find its value when the parachute opens.
Transcribed Image Text:8 (a) A parachutist jumps out of an aircraft and sometime later opens the parachute. His speed at time t (in seconds) from when the parachute opens is given by v = 8+22e-0.07t (in m/s) (i) What is the parachutist's speed when the parachute opens? What is his speed after 60 seconds? (ii) Find the value of t when the parachutist is travelling at 20 m/s. (iii) Find the acceleration a(t) of the parachutist, and find its value when the parachute opens.
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