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f an objedt mcues along a line eo its at= f(5x-axat tima x(eecs), find theinstantanecue velocity tunction Vf)and find the velccity at times Xand 5 sece Cy ismeceuredl in ft)avfa 7f/eee3ft/seeA=E5)

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Please assist with the attached problem. Thanks!

f an objedt mcues along a line eo its at
= f(5x-axat tima x(eecs), find the
instantanecue velocity tunction Vf)
and find the velccity at times X
and 5 sece Cy ismeceuredl in ft)
avfa 7f/eee
3
ft/see
A=E5)
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f an objedt mcues along a line eo its at = f(5x-axat tima x(eecs), find the instantanecue velocity tunction Vf) and find the velccity at times X and 5 sece Cy ismeceuredl in ft) avfa 7f/eee 3 ft/see A=E5)

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Step 1

The distance function is represented by,

y f(x)5x-2x
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y f(x)5x-2x

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Step 2

Instantaneous velocity of f(x) is the rate of change of distance with respect to time.

Differentiate f(x) with respect to x.

d
d
(5.x2 - 2x
f (x):
dx
dc
...1)
-10x-2
|
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d d (5.x2 - 2x f (x): dx dc ...1) -10x-2 |

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Step 3

Thus, the instantaneous velocity is 10x-2 ft/s...

v(1)10(1)-2
= 10
-2
= 8 ft/ sec
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v(1)10(1)-2 = 10 -2 = 8 ft/ sec

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Tagged in

Math

Calculus

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