Download presentation

Presentation is loading. Please wait.

Published byRachel Sheridan Modified over 5 years ago

1
Lesson 14.1

2
Just like a movie is a constantly moving figure, it can be broken into individual frames. I may not be able to find the area of this figure (created with the x-axis), but I can estimate it by breaking it into rectangles.

3
Although this is a good estimate, I can have a better estimate using more rectangles.

4
As x gets smaller, the my estimate gets more accurate. The integral is created by getting x (the length of each rectangle) as small as possible. Velocity-time curve: a graph in which x is the velocity and y is the time.

5
A car accelerates from 0 to 60 ft/sec (41 mi/hour) in 8 seconds with a velocity after t seconds. Estimate how far the car travels in this time by dividing the interval 0 t 8 into 4 subintervals and using the midpoints of those intervals.

6
Now find the area of each of the rectangles! (remember – use midpoint to find the height)

7
Area: length * height Blue : 2 * f(1) General: 2 * f(1) + 2 *f(3) + 2 * f(5) + 2 f(7) 2 * 14.0625+ 2 *36.5625 + 2 * 51.5625+ 2 * 59.0625 322.5

8
Calculate how far the car in Example 1 travels if the velocity is changed to 7.5t after t seconds. A = ½ bh A = ½ * 8 * 60 A = 240 feet (8, 60)

9
2, 4, 5, 7, 8

Similar presentations

OK

Section 2.4 Graphs of Motion. Why Use Graphs? Show relationships between distance, velocity, acceleration, and time Visual and clear way of representing.

Section 2.4 Graphs of Motion. Why Use Graphs? Show relationships between distance, velocity, acceleration, and time Visual and clear way of representing.

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google