### Home > CALC > Chapter 5 > Lesson 5.1.1 > Problem5-5

5-5.
Marisol has more questions about her spitwad from problem 5-1. Homework Help ✎

1. How high is the spitwad after half a second? How fast is it traveling at that instant?

2. When is the spitwad 10 feet high? What is its velocity at those times?

3. As the spitwad is falling back toward Marisol, does it ever fall at 10 ft/sec? If so, when?

4. How long does the spitwad take to reach its highest point? How high does it go? Find your answer graphically and analytically.

Use the equation, h(t), that you found in problem 5-1 to find the height of the spitwad after 2 seconds.

'How fast' could refer to velocity or speed. Be sure that you are clear in your answer.

x(t) = 10

v(t) = −10

$(\text{show steps})=\frac{37}{16}\text{ seconds}$

The spitwad will be at its highest point at the moment when its velocity changes from positive to negative.