Purchase Solution

word problem derivatives

Not what you're looking for?

Ask Custom Question

A ball is dropped from the top of a building which is 1000 feet tall.
GIVEN
(s(t)=-16t^2+v(initial)t+s(initial))

A. Write the position and velocity functions for the ball.
B. Find the instantaneous velocity went t = 2 seconds.
C. How long does it take the ball to reach the ground.

Please solve using calculus (derivatives) and it is ok to leave in feet. The SI system is not needed.

Thank you....

Purchase this Solution

Solution Summary

The position and velocity functions for the ball are examined. The instantaneous velocity functions for calculus derivatives are solved.

Solution Preview

A) s(t) = -16t^2 + v(0)+s(0)...this the position function for the ball. Note: v(0)= 0 (initially ball is at rest.and s(0)= ( intially it ...

Solution provided by:
Education
  • BE, Bangalore University, India
  • MS, University of Wisconsin-Madison
Recent Feedback
  • "Your explanation to the answers were very helpful."
  • "What does 1 and 0 means in the repair column?"
  • "Went through all of the formulas, excellent work! This really helped me!"
  • "try others as well please"
  • "Thank you, this helped a lot. I was not sure how to plug in those numbers to a formula. This was a great help. Now I have to figure out how to explain cost of capital is used in net present value analysis, and how cost of capital is used in net present value analysis. This stuff gets confusing."
Purchase this Solution


Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.