You are traveling down a country road at a rate of 95 feet/sec when you see a large cow 300 feet in front of you and directly in your lane. The cow is fearless and staring you down. (Or perhaps she does not understand the gravity of the situation.)Regardless, if you simply hit your brakes, after t seconds, the car will be(t)=95t-9t^2 feet from the point where the brakes were first applied. (i)Must you steer to avoid the cow, or can you rely solely on your brakes? Explain. (ii)Graphj(t), J(t), and''(t) and interpret their meanings in the context .(iii) Is there a time t after which the graphs in part (ii) probably do not accurately model the path of the car?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
You are traveling down a country road at a rate of 95 feet/sec when you see a large cow 300 feet in front of you and directly in your lane. The cow is fearless and staring you down. (Or perhaps she does not understand the gravity of the situation.)Regardless, if you simply hit your brakes, after t seconds, the car will be(t)=95t-9t^2 feet from the point where the brakes were first applied.
(i)Must you steer to avoid the cow, or can you rely solely on your brakes? Explain.
(ii)Graphj(t), J(t), and''(t) and interpret their meanings in the context
.(iii) Is there a time t after which the graphs in part (ii) probably do not accurately model the path of the car?
(iv) Write a
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