blank for those problem that has no answer. Upload your solution on our Google Classroom in PDF Format. 1. On a 10-mile drive a man exceeds the 50 MPH speed limit by an average of 10 MPH. How much time does he save? in minutes. (5 pts.) 2. A drag racer accelerates from rest at 18 ft/sec². How long does it take to acquire a speed of 60 MPH? What distance
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First, let's convert the speed limit from MPH to miles per minute. Since there are 60 minutes in an hour, we divide 50 by 60 to get the speed limit in miles per minute: 50/60 = 5/6 miles per minute. Show more…
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An accelerating sports car goes from 0 mph to 60 mph in five seconds. Its velocity is given in the following table, converted from miles per hour to feet per second, so that all time measurements are in seconds. (Note: 1 mph is $22 / 15 \mathrm{ft} / \mathrm{sec} .$ ) Find the average acceleration of the car over each of the first two seconds. $$\begin{array}{l|c|c|c|c|c|c} \hline \text { Time, } t(\mathrm{sec}) & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline \text { Velocity, } v(t)(\mathrm{ft} / \mathrm{sec}) & 0 & 30 & 52 & 68 & 80 & 88 \\ \hline \end{array}$$
Key Concept: The Derivative
The Second Derivative
An accelerating sports car goes from 0 mph to 60 mph in five seconds. Its velocity is given in the following table, converted from miles per hour to feet per second, so that all time measurements are in seconds. (Note: $1 \mathrm{mph}$ is $22 / 15 \mathrm{ft} / \mathrm{sec} .$ ) Find the average acceleration of the car over each of the first two seconds. $$\begin{array}{l|c|c|c|c|c|c} \hline \text { Time, } t(\mathrm{sec}) & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline \text { Velocity, } v(t)(\mathrm{ft} / \mathrm{sec}) & 0 & 30 & 52 & 68 & 80 & 88 \\ \hline \end{array}$$
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