Suppose the speed of a car approaching a stop sign is given by v(t) = (t- 19) for 0sts 19, where t is measured in seconds and v(t) is measured in meters per second. a. Find v'(8). b. Interpret the physical meaning of this quantity. a. v'(8) =| b. Choose the correct answer below. O A. v'(8) represents the average rate of change in the car's speed at t= 8. O B. v'(8) represents the instantaneous rate of change in the car's speed at t= 8. O C. v'(8) represents the instantaneous rate of change in the car's position at t 8. O D. v'(8) represents the average rate of change in the car's position at t 8.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 31A
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Suppose the speed of a car approaching a stop sign is given by v(t) = (t- 19)*, for 0st< 19, where t is measured in seconds and v(t) is measured in meters per second.
a. Find v'(8).
b. Interpret the physical meaning of this quantity.
a. v'(8) =
%3D
b. Choose the correct answer below.
O A. v'(8) represents the average rate of change in the car's speed at t= 8.
O B. v'(8) represents the instantaneous rate of change in the car's speed at t= 8.
O C. v'(8) represents the instantaneous rate of change in the car's position at t= 8.
O D. v'(8) represents the average rate of change in the car's position at t=8.
Transcribed Image Text:Suppose the speed of a car approaching a stop sign is given by v(t) = (t- 19)*, for 0st< 19, where t is measured in seconds and v(t) is measured in meters per second. a. Find v'(8). b. Interpret the physical meaning of this quantity. a. v'(8) = %3D b. Choose the correct answer below. O A. v'(8) represents the average rate of change in the car's speed at t= 8. O B. v'(8) represents the instantaneous rate of change in the car's speed at t= 8. O C. v'(8) represents the instantaneous rate of change in the car's position at t= 8. O D. v'(8) represents the average rate of change in the car's position at t=8.
Suppose the speed of a car approaching a stop sign is given by v(t) = (t- 19)-, for 0sts 19, where t is measured in seconds and v(t) is measured in meters per second.
a. Find v'(8).
b. Interpret the physical meaning of this quantity.
a. v'(8) =
b. Choose th
m/s per second
A. v'(8)
m/s per meter
ate of change in the car's speed at t = 8.
O B. v'(8)
m/s
ous rate of change in the car's speed at t= 8.
OC. v'(8)
s/m
ous rate of change in the car's position at t = 8.
O D. v'(8) lopidatind mio avoiayu iate of change in the car's position at t= 8.
Transcribed Image Text:Suppose the speed of a car approaching a stop sign is given by v(t) = (t- 19)-, for 0sts 19, where t is measured in seconds and v(t) is measured in meters per second. a. Find v'(8). b. Interpret the physical meaning of this quantity. a. v'(8) = b. Choose th m/s per second A. v'(8) m/s per meter ate of change in the car's speed at t = 8. O B. v'(8) m/s ous rate of change in the car's speed at t= 8. OC. v'(8) s/m ous rate of change in the car's position at t = 8. O D. v'(8) lopidatind mio avoiayu iate of change in the car's position at t= 8.
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