As a certain object falls, its position s (in meters) above ground after t secon

Question

As a certain object falls, its positions(in meters) above ground aftertseconds is given bys(t) =20 - 5t^2

I KNOW A & B. JUST NEED HELP WITH C) D) AND E).

(a) What is the average velocity of the object on the interval fromt= 1 to the time 0.5 seconds later?

-12.5 m/s

(b) What is the average velocity of the object on the interval fromt= 1 to the time 0.1 seconds later?

-10.5 m/s

(c) Write a polynomial in terms ofhfor the average velocity fromt= 1 to the timehseconds later

(d) What does this average tend toward forhcloser and closer to 0 (smaller and smaller time interval)?

____m/s

(e) What would you guess to be the exact velocity of the object after 1 second?

Explanation / Answer

As a certain object falls, its positions(in meters) above ground aftertseconds is given bys(t) =20 - 5t^2

(c) Write a polynomial in terms ofhfor the average velocity fromt= 1 to the timehseconds later

(Simplify your answer completely.)

(d) What does this average tend toward forhcloser and closer to 0 (smaller and smaller time interval)?

-55/3 / -1 =   55/3 m/sec

(e) What would you guess to be the exact velocity of the object after 1 second?

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.