Determine the position function if the velocity function is and the initial position is .

Question

Determine the position function if the velocity function is  and the initial position is  .

Quizplus · Accepted Answer

To find the position function, we need to integrate the velocity function. Integrating 11eaa948_cd0e_7e53_84bc_af8e5fe2d422_TB2342_11 with respect to time yields 11eaa948_cd0e_7e55_84bc_177c83447a0a_TB2342_11 + C, where C is the constant of integration. Using the initial position of 11eaa948_cd0e_7e54_84bc_3f0fa61b8798_TB2342_11, we can solve for C as 11eaa948_cd0e_7e57_84bc_055c10f6b1ff_TB2342_11. Therefore, the position function is 11eaa948_cd0e_7e55_84bc_177c83447a0a_TB2342_11 + 11eaa948_cd0e_7e57_84bc_055c10f6b1ff_TB2342_11, which simplifies to 11eaa948_cd0e_7e57_84bc_55c7e161c28d_TB2342_11.

Determine the Position Function If the Velocity Function Is