Concept explainers
Returning to Exercise 23, explain why it is reasonable for the graph representing the falling crate to be shaped as it was. How does this conform to your intuition? Would a linear equation have been an acceptable model?
23. Falling bodies. A plane is dropping emergency food supplies to relieve famine in a less-developed country. Crates are dropped, and the height of the crate above the ground at time t is given by the equation
a. Graph this equation.
b. Are there any values for t that it would not make sense to use for this equation because of the physical characteristics of a falling crate?
c. Find the time at which the crate will strike the ground.
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