close search
Hit Return to see all results

The position of an object moving along a line is given by the functions(t)=-9t^2+27tFind the average velocity of the object over [1,1+h]


The position of an object moving along a line is given by the function


Find the average velocity of the object over [1,1+h]

Step 1

s(t)=-9t2 + 27t

Hence, s(1 + h) = - 9  x (1 + h)2 + 27 x (1 + h) = - 9h2 - 18h – 9 + 27 + 27h =...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in




Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add

Q: Hello,  I need help explaining how pi(k)/2 came about, I know where pi/4 came from. Thank you for th...

A: Consider the provided trigonometry equation.


Q: I did the test points but not sure how to answer??? It’s positive when less than 3, less than 0 and ...

A: To determine when the motion is in the positive direction and when it is in the negative direction.


Q: Please help!

A: Recall the quotient rule for derivative:


Q: For each of the following integrals, indicate whether integration by substitution or integration by ...

A: Known fact:Integration by parts:When an integral contains the product of two functions, then integra...


Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.


Q: p(q)=2q2-4q+5; q=2 (a) Find the derivative, by using the definition. (b) Find the instantaneous rate...

A: Part (a)The derivative of p(q) at any point q, by using the definition, will be given by the express...


Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: Calculation:The given function is f(x) = 2(5x)x defined on interval [0.05, 1].In order to find the l...


Q: For the sequence 1, 4, 7, 10,..., its nth term is Preview My Answers Submit Answers ou have attempte...

A: The given sequence is 1,4,7,10, ...


Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: We first have to factor the numerator and the denominator. 

Sorry about that. What wasn’t helpful?