Solution Found!
IP A particle passes through the origin with a velocity of
Chapter 4, Problem 5P(choose chapter or problem)
A particle passes through the origin with a velocity of \(\mathrm {(6.2\ m/s)\hat{y}}\). If the particle's acceleration is \(\mathrm {(-4.4 m/s^2)\hat{x}}\), (a) what are its and
positions after
? (b) What are \(v_x\) and \(v_y\) at this time? (c) Does the speed of this particle increase with time, decrease with time, or increase and then decrease? Explain.
Equation Transcription:
Text Transcription:
(6.2 m/s)hat{y}
(-4.4 m/s^2)hat{x}
v_x
v_y
Questions & Answers
QUESTION:
A particle passes through the origin with a velocity of \(\mathrm {(6.2\ m/s)\hat{y}}\). If the particle's acceleration is \(\mathrm {(-4.4 m/s^2)\hat{x}}\), (a) what are its and
positions after
? (b) What are \(v_x\) and \(v_y\) at this time? (c) Does the speed of this particle increase with time, decrease with time, or increase and then decrease? Explain.
Equation Transcription:
Text Transcription:
(6.2 m/s)hat{y}
(-4.4 m/s^2)hat{x}
v_x
v_y
ANSWER:
Part (a)
Step 1 of 6:
Consider a particle is in the two-dimensional motion with an initial velocity in both directions. The particle also has acceleration in the y-direction. We are going to find the position of the particle in x and y direction at 5s. Assume that the initial position (xo and yo) of the particle is zero.
The y component velocity
The x component acceleration
Assume that the x component velocity is zero and corresponding y component acceleration is also zero.
