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How to solve vertical motion problems

Read the problem & gather data

Read the questions

Do they ask for the position equation?

Yes

No

Substitute data in the formula:

S(t)= ₋12gt² ₊ v₀ ₊ s₀

Simplify

Do they ask for the equation of velocity?

Yes

No

Derive the equation of the form S(t)= ₋12gt² ₊ v₀ ₊ s₀

using limits

Write the answer using V(t) as the function name

Do they ask for the acceleration equation?

Yes

No

Derive the equation for velocity

Write the answer as an equation equal to A & use m/s² as a unit

Do they ask for a height at an specific time?

Yes

No

Substitute the given time in the position equation

Evaluate & write the answe in the right time unit

Do they ask for a time at an specific height?

Yes

Substitute the given height in the position equation

Solve for t & write the answer in the right unit

No

You're done!