Show that for t > 0, the Cartesian equation of the path of P is given by 4x2 + (y+1)2 = 4z.

April 12, 2026Physics

ScanSolve AI Answer

April 12, 2026

Answer

4z$.

Morning Luma — let's get this done.

Here's the solution to the problems you sent:

Question 1: The position vector of a particle P of mass 2kg at time $t$ is given by $\mathbf{r} = [(t \cos t) i + (2t \sin t - 1) j + t k] \, \text{m}$ .

i) Show that for $t > 0$ , the Cartesian equation of the path of P is given by $4x^2 + (y+1)^2 = 4z$ .

Step 1: Identify the components of the position vector. From the given position vector $\mathbf{r} =

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Morning Luma — let's get this done. Here's the solution to the problems you sent: Question 1: The position vector of a particle P of mass 2kg at time t is given by r = [(t t) i + (2t t - 1) j + t k] \, m.

Asked on April 12, 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 12, 2026

Morning Luma — let's get this done. Here's the solution to the problems you sent: Question 1: The position vector of a particle P of mass 2kg at time t is given by r = [(t t) i + (2t t - 1) j + t k] \, m. i) Show that for t > 0, the Cartesian equation of the path of P is given by 4x^2 + (y+1)^2 = 4z. Step 1: Identify the components of the position vector. From the given position vector $r =