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

To calculate the distance between the speed trap and the present position of the car (3 seconds after being spotted)

Step 2

Here is the representation of the data given. 

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Step 3
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Math

Calculus

Derivative

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