The range of speeds that she can travel is determined as 30 mph or less.
The range of speed of Kerry is calculated as follows;
d = v + (v²)/20
d = (20v + v²)/20
75 = (20v + v²)/20
20(75) = 20v + v²
1500 = 20v + v²
v² + 20v - 1500 = 0
v² + 50v - 30v - 1500 = 0
v(v + 50) - 30(v + 50) = 0
(v + 50)(v - 30) = 0
v = 30 mph or - 50 mph
Thus, the range of speeds that she can travel is determined as 30 mph or less.
The complete question is below:
For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the following formula, where d is measured in feet. Kerry wants her stopping distance not to exceed d = 75 ft. At what range of speeds can she travel?
d =v+(v^2)/20
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