A particle P has a position vector given by r_P = (t2 + 1)i + (3t - 2)j m. Find the position vector of P at t=3 s.

April 4, 2026Physics

ScanSolve AI Answer

April 4, 2026

Answer

(t^2 + 1)i + (3t - 2)\mathbf{j}$ m.

Here are the solutions to your problems, step-by-step:

1. Position and Velocity Vectors Given: Position vector of particle P: $\mathbf{r}_P = (t^2 + 1)i + (3t - 2)\mathbf{j}$ m.

a) Find the position vector of P at $t=3$ s. Step 1: Substitute $t=3$ into the position vector equation. $r_P(3) = ((3)^2 + 1)i + (3(3) - 2)j$

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1. Position and Velocity Vectors Given: Position vector of particle P: r_P = (t^2 + 1)i + (3t - 2)j m.

Asked on April 4, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on April 4, 2026

Here are the solutions to your problems, step-by-step: 1. Position and Velocity Vectors Given: Position vector of particle P: r_P = (t^2 + 1)i + (3t - 2)j m. a) Find the position vector of P at t=3 s. Step 1: Substitute t=3 into the position vector equation. r_P(3) = ((3)^2 + 1)i + (3(3) - 2)j r_P(3) = (9 + 1)i +