Solution Found!
Solution: Section 2.2 Instantaneous VelocitySection 2.3
Chapter 2, Problem 8E(choose chapter or problem)
Section 2.3 Finding Position from Velocity
Figure EX 2.8 shows the velocity graph for a particle having initial position \(x_{0}=0 \mathrm{~m}\) at \(t_{0}=0 \mathrm{~s}\).
a. At what time or times is the particle found at \(x=35 \mathrm{~m}\)? Work with the geometry of the graph, not with kinematic equations.
b. Draw a motion diagram for the particle.
Equation Transcription:
Text Transcription:
x_0=0 m at t_0=0 s
x=35 m
Questions & Answers
QUESTION:
Section 2.3 Finding Position from Velocity
Figure EX 2.8 shows the velocity graph for a particle having initial position \(x_{0}=0 \mathrm{~m}\) at \(t_{0}=0 \mathrm{~s}\).
a. At what time or times is the particle found at \(x=35 \mathrm{~m}\)? Work with the geometry of the graph, not with kinematic equations.
b. Draw a motion diagram for the particle.
Equation Transcription:
Text Transcription:
x_0=0 m at t_0=0 s
x=35 m
ANSWER:
Step 1 of 2
Part a
We are required to calculate the time when the particle moves 35 m. The distance from a velocity- time graph is obtained by calculating the enclosed by the graph.
Let us calculate the area of the plot up to 6s.
This area comprises a rectangle and a triangle as shown in the figure below.