You ride your bike to school. As you approach an intersection, you decrease your speed by 1.5 miles per hour per second. Select an inequality that represents the time tt (in seconds) until your speed decreases by more than 10.5 miles per hour. Then solve the inequality.

Question

Graham Gill

Mathematics

25 May, 09:41

You ride your bike to school. As you approach an intersection, you decrease your speed by 1.5 miles per hour per second. Select an inequality that represents the time tt (in seconds) until your speed decreases by more than 10.5 miles per hour. Then solve the inequality.

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Elsa Marquez · Answer 1

The acceleration is equal to the change in velocity per time. Now, the acceleration is said to be 1.5 miles/h·s. We are asked to find the corresponding time when the change in velocity is 10.5 miles/h such that the acceleration does not change.

a = Δv/t

1.5 = 10.5/t

t = 7 seconds