If s represents the displacement andt represents the time for an object moving with rectilinear motion according to the given function, find the instantaneous velocity for the given time. 7) s=73 +102+4t+10; t=3 7) A) 137 B) 87 C) 263 D) 253

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Chapter3: Vectors
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Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...
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If s represents the displacement and t represents the time for an object moving with rectilinear motion according to
the given function, find the instantaneous velocity for the given time.
7) s=73 +1012+4t + 10; t=3
7)
A) 137
B) 87
C) 263
D) 253
8) The power P (in W) generated by a particular windmill is given by P= 0.015 V3 where V is the
velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to
velocity when the velocity is 9.5 mph. Round answer to the nearest tenth.
A) 9.0 W/mph
B) 25.7 W/mph
C) 4.1 W/mph
D) 0.4 W/mph
9) Murrel's formula for calculating the total amount of rest, in minutes, required after performing a
particular type of work activity for 30 minutes is given by the formula R(w) = 30(w - ), where
w- 1.5
w is the work expended in kilocalories per min. A bicyclist expends 6 kcal/min as she cycles
home from work. Find R'(w) for the cyclist; that is, find R'(6).
A) 13.33 min2/kcal
C) 3.7 min2/kcal
B) 2.96 min2/kcal
D) 444 min2/kcal
10) The electric power P (in W) as a function of the current i (in A) in a certain circuit is given by
P= 2512 +70i. Find the instantaneous rate of change of P with respect to i for i=0.9 A.
A) 108 W/A
10)
B) 92.5 W/A
C) 83.25 W/A
D) 115 W/A
Transcribed Image Text:If s represents the displacement and t represents the time for an object moving with rectilinear motion according to the given function, find the instantaneous velocity for the given time. 7) s=73 +1012+4t + 10; t=3 7) A) 137 B) 87 C) 263 D) 253 8) The power P (in W) generated by a particular windmill is given by P= 0.015 V3 where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is 9.5 mph. Round answer to the nearest tenth. A) 9.0 W/mph B) 25.7 W/mph C) 4.1 W/mph D) 0.4 W/mph 9) Murrel's formula for calculating the total amount of rest, in minutes, required after performing a particular type of work activity for 30 minutes is given by the formula R(w) = 30(w - ), where w- 1.5 w is the work expended in kilocalories per min. A bicyclist expends 6 kcal/min as she cycles home from work. Find R'(w) for the cyclist; that is, find R'(6). A) 13.33 min2/kcal C) 3.7 min2/kcal B) 2.96 min2/kcal D) 444 min2/kcal 10) The electric power P (in W) as a function of the current i (in A) in a certain circuit is given by P= 2512 +70i. Find the instantaneous rate of change of P with respect to i for i=0.9 A. A) 108 W/A 10) B) 92.5 W/A C) 83.25 W/A D) 115 W/A
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