c. The acceleration of the object as a function of time. d. The magnitude and direction of the average acceleration from 0 to 10s. e. Determine the average speed of the object from zero to the moment when the object changes direction.
c. The acceleration of the object as a function of time. d. The magnitude and direction of the average acceleration from 0 to 10s. e. Determine the average speed of the object from zero to the moment when the object changes direction.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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i need help with Only the last 3 parts ( C D and E)
![**Problem 2: Kinematics and Vectors**
An object is moving on the xy plane with velocities given by:
\[ v_x = \left(10.0 \, \frac{m}{s} - 0.500 \, \frac{m}{s^2} \cdot t \right) \hat{i} \]
\[ v_y = \left(-5.00 \, \frac{m}{s} \cdot t + 0.025 \, \frac{m}{s^3} \cdot t^2 \right) \hat{j} \]
Determine the following quantities:
a. The displacement of the object as a function of time.
b. The average velocity of the object for the time interval from 0 to 10 s.
**Explanation of the Problem:**
The problem involves an object moving in a two-dimensional plane, and the velocity components in the x and y directions are given as functions of time.
1. **For part (a):** You are required to find the displacement over time, which involves integrating the velocity functions with respect to time to get the position functions \(x(t)\) and \(y(t)\).
2. **For part (b):** The average velocity over the time interval from 0 to 10 seconds involves calculating the total displacement during this interval and dividing it by the total time elapsed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb40a18ca-f6bf-46d9-9516-d1f637f7b776%2Fa896ca8d-4adf-4992-89af-f424061490fa%2Flqe8vtu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 2: Kinematics and Vectors**
An object is moving on the xy plane with velocities given by:
\[ v_x = \left(10.0 \, \frac{m}{s} - 0.500 \, \frac{m}{s^2} \cdot t \right) \hat{i} \]
\[ v_y = \left(-5.00 \, \frac{m}{s} \cdot t + 0.025 \, \frac{m}{s^3} \cdot t^2 \right) \hat{j} \]
Determine the following quantities:
a. The displacement of the object as a function of time.
b. The average velocity of the object for the time interval from 0 to 10 s.
**Explanation of the Problem:**
The problem involves an object moving in a two-dimensional plane, and the velocity components in the x and y directions are given as functions of time.
1. **For part (a):** You are required to find the displacement over time, which involves integrating the velocity functions with respect to time to get the position functions \(x(t)\) and \(y(t)\).
2. **For part (b):** The average velocity over the time interval from 0 to 10 seconds involves calculating the total displacement during this interval and dividing it by the total time elapsed.
Transcribed Image Text:c. The acceleration of the object as a function of time.
d. The magnitude and direction of the average acceleration from 0 to 10s.
e. Determine the average speed of the object from zero to the moment when the object changes direction.
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