If a rock is thrown upward on the planet Mars with a velocity 14 m/s, its height in meterst seconds later is given by y-14t-1.862². (Round your answers to two decimal places.) (a) Find the average velocity (in m/s) over the given time intervals. 00 (1,2) (6) [1, 1.5) (N) (1,1.01) (v) [1,1.001) (b) Use your answers from part (a) to estimate the instantaneous velocity of the rock (in m/s) when t-1. m/s

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A graphing calculator is recommended.
If a rock is thrown upward on the planet Mars with a velocity 14 m/s, Its height in meterst seconds later is given by y 14t-1.8622. (Round your answers to two decimal places.)
(a) Find the average velocity (in m/s) over the given time intervals.
() (1,2)
() (1, 1.5)
() (1, 1.4)
(v) [1, 1.01)
(v) (1, 1.001)
m/s
m/s
m/s
m/s
m/s
(b) Use your answers from part (a) to estimate the instantaneous velocity of the rock (in m/s) when t - 1.
m/s
Transcribed Image Text:A graphing calculator is recommended. If a rock is thrown upward on the planet Mars with a velocity 14 m/s, Its height in meterst seconds later is given by y 14t-1.8622. (Round your answers to two decimal places.) (a) Find the average velocity (in m/s) over the given time intervals. () (1,2) () (1, 1.5) () (1, 1.4) (v) [1, 1.01) (v) (1, 1.001) m/s m/s m/s m/s m/s (b) Use your answers from part (a) to estimate the instantaneous velocity of the rock (in m/s) when t - 1. m/s
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