standard deviation? standard error? **Acceleration Values and Analysis**- **Acceleration Values:** - \( a_1 = 1.042 \, \text{m/s}^2 \) - \( a_2 = 1.36 \, \text{m/s}^2 \) - \( a_3 = 1.50 \, \text{m/s}^2 \) - \( a_4 = 1.12 \, \text{m/s}^2 \) - \( a_5 = 1.24 \, \text{m/s}^2 \)- **Average Acceleration:** - \( \text{Average acceleration} = 1.2524 \, \text{m/s}^2 \)- **Standard Deviation:** (blank)- **Standard Error:** (blank)**Instructions:**- **Diagram Sketch:** - Sketch a diagram of the cart on the incline and label the forces acting on it.- **Trigonometric Analysis:** - Determine the portion of the cart’s acceleration parallel to the incline and perpendicular to the incline using trigonometric functions. - **Comparison:** - Compare and comment on the value of the parallel component of the acceleration, \( g \cdot \sin(\theta) \), with the measured acceleration.---**Station III: Accelerating Cart with Fan on a Flat Track**- **Objective:** - Analyze the motion of a fan and cart accelerating along a horizontal track.- **Method:** - Use the Labquest interface to gather acceleration data. - Position Labquest at one end of the track and allow the cart to move away from the detector due to thrust. - Ensure the track is level. - **Task:** - Conduct five trials and record the acceleration values. - Calculate the average and standard deviation of the data. ### Station II. Accelerating Cart on a Track**Overview:**You will be analyzing the motion of a cart accelerating down an incline. Gravity induces acceleration down the incline as a component of gravity's acceleration vector aligns with the incline. We'll use Labquest interfaces to gather data for determining the acceleration of a cart moving down the incline. You'll position the Labquest near the top of the incline and release the cart down the track.**Objective:**This exercise aims to enhance your trigonometry skills needed for your physics coursework. You'll select two points on the tilted track, measure the height difference (Δy) between them, and determine the length along the track separating these points, labeled as Δl. Use trigonometry to find the angle of the incline relative to the horizontal plane (assuming the tabletop is horizontal). Release the cart, record its motion using a position vs. time graph on Labquest, and determine the acceleration. Repeat the experiment four more times to find the average acceleration and the standard deviation of the accelerations.**Measurements:**- Height Difference (Δy): 19- Length Along Track (Δl): 118- Sine of the Incline Angle (sin(θ)): 4.2- Angle (θ): 29/118**Instructions:**1. Measure the height difference (Δy) between the two chosen points on the track.2. Measure the track's length between these points (Δl).3. Calculate the angle of the incline using trigonometric functions.4. Release the cart and use Labquest to analyze the position vs. time graph.5. Determine the cart's acceleration.6. Repeat the experiment four additional times to compute the average acceleration and standard deviation.

Name: standard deviation? standard error? **Acceleration Values and Analysis
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: standard deviation? standard error? **Acceleration Values and Analysis**- **Acceleration Values:** - \( a_1 = 1.042 \, \text{m/s}^2 \) - \( a_2 = 1.36 \, \text{m/s}^2 \) - \( a_3 = 1.50 \, \text{m/s}^2 \) - \( a_4 = 1.12 \, \text{m/s}^2 \) - \(