Doug shows up 15 s late at an experiment Carrie is running with a spring. The spring is bouncing according to the following equation h(t) = -1.5 sin(30°t) + 2, where t is time in seconds and h is height in inches. a) What is the height of the spring 3 seconds before Doug showed up? b) At what two times did Doug first see the spring at a height of 3 inches?

Q: 2° dt

A:

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.