Activity Solve the following problems: Question 1. A car speeds past a speed trap. By the time the traffic officer gets a reading on the car's speed (time t 0 seconds), it has already traveled 0.04 miles past the speed trap. Furthermore, it is accelerating in such a manner that t seconds after this instant, it has a speed of s 852 miles per hour. How far away is the car by the time the traffic officer realizes what has happened, if realizing what happened takes 3 seconds? You may use a calculator for the numeric calculations in this exercise. To convert miles per hour into miles per second, divide miles per hour by 3600.

Question

How do you solve when finding the derivative first 

Activity
Solve the following problems:
Question 1. A car speeds past a speed trap. By the time the traffic officer gets a reading on the car's
speed (time t 0 seconds), it has already traveled 0.04 miles past the speed trap. Furthermore, it is
accelerating in such a manner that t seconds after this instant, it has a speed of s 852 miles per
hour. How far away is the car by the time the traffic officer realizes what has happened, if realizing what
happened takes 3 seconds?
You may use a calculator for the numeric calculations in this exercise. To convert miles per hour into
miles per second, divide miles per hour by 3600.

Image Transcription

Activity Solve the following problems: Question 1. A car speeds past a speed trap. By the time the traffic officer gets a reading on the car's speed (time t 0 seconds), it has already traveled 0.04 miles past the speed trap. Furthermore, it is accelerating in such a manner that t seconds after this instant, it has a speed of s 852 miles per hour. How far away is the car by the time the traffic officer realizes what has happened, if realizing what happened takes 3 seconds? You may use a calculator for the numeric calculations in this exercise. To convert miles per hour into miles per second, divide miles per hour by 3600.

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Derivative

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