Purchase Solution

# Derivatives and Rate of Change Word Problems: Motion and Relative Speed

Not what you're looking for?

1.A body has an a equation of motion measured in metres after t seconds such that
s=4t3-14t2+40t+8.

a) When and where is the body momentarily at rest?
b) For what time interval is it moving forward?
c) During what times is its acceleration negative?
d) Draw three separate graphs for acceleration, velocity, and displacement. Explain the relationship between the important information on the graphs.

2.Mrs. Gordon lives on an island 1 km from the mainland. She paddles her canoe at 3km/h and jogs at 5km/h. The nearest drug store is 3 km along the shore from the point on the shore closest to the island. Where should she land to reach the drug store in minimum time?

3.A power boat travels west at 24 km/h. At the instant it passes a buoy, a sailboat sailing north at 7 km/h is 25 km south of the buoy. Calculate the positions of the vessels when there is a minimum distance between them.

##### Solution Summary

Motion and Relative Speed are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

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

##### Graphs and Functions

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

##### Probability Quiz

Some questions on probability

##### Exponential Expressions

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