Can u recheck if it is right? ### Problem Statement:Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.#### Acceleration Function:\[ a(t) = 0.8t \]#### Initial Conditions:\[ v(0) = 0 \]\[ s(0) = 5 \]#### Solution:\[ s(t) = 5 + \frac{0.8t^3}{6} \](Type an expression using \( t \) as the variable.)---**Explanation:**1. **Given Data**: - **Acceleration, \( a(t) \)**: \[ a(t) = 0.8t \] - **Initial Velocity, \( v(0) \)**: \[ v(0) = 0 \] - **Initial Position, \( s(0) \)**: \[ s(0) = 5 \]2. **Position Function \( s(t) \)**: The position function, denoted as \( s(t) \), describes the position of the object at any time \( t \). It is found by integrating the acceleration function twice and using the given initial conditions to solve for any constants of integration.3. **Answer Format**: The solution \( s(t) \) is required to be input in the form of an expression with \( t \) as the variable.Enter your answer in the designated answer box.#### Interactive Elements:- **Submit Button**: After entering the solution, click the "Stop sharing" button to finalize your input.- **Help Icon**: For any additional questions or clarifications, click on the help icon (represented by a question mark) displayed next to the answer box.---*Note: On the bottom of the screen, there are various options for language settings and system information, which do not affect the problem-solving task.***Timestamp**: June 11, 2021, 1:00 PM**Current Weather**: 77°F

Name: Can u recheck if it is right? ### Problem Statement:Given the followin
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: Can u recheck if it is right? ### Problem Statement:Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.#### Acceleration Function:\[ a(t) = 0.8t \]#### I