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The speed s in m/s of an athlete can be modeled by the

function
s = 9.8 – 9.8e-0.88t
where t is the time (in seconds) after the
athlete starts running. Graph this model and use the graph to
estimate the speed of the athlete 2 seconds after his launch.
Round your answer to the nearest whole m/s.
speed m/s

User John Meyer
by
4.1k points

1 Answer

3 votes

Answer:

Step-by-step explanation: The equation is s = 9.8 – 9.8e-0.88t and we need to find the speed if t or time = 2 so to solve this equation algebraically you would;


s = 9.8-9.8e-0.88(2)


s = 9.8-9.8e-1.76


s = 8.04-9.8e

and after graphing it you would get


-18.5991619189

which after rounding and using absolute value would be


s=18.6

User Icephere
by
4.3k points