O que você entende por posição, velocidade e aceleração em um contexto de funções integradas?

24. Let \( |\vec{A}|=150 N \) and the vector \( \vec{A} \) makes an angle of \( 60^{\circ} \) with the positive y axis. Let P be the scalar projection of \( \vec{A} \) on to the xz plane and it makes an angle of \( 30^{\circ} \) with the positive x axis. Express vector \( \vec{A} \) in terms of its rectangular \( (\mathrm{x}, \mathrm{y}, \mathrm{z}) \) components;

must be the charge of a Figure \( 23-40 \) shows a section of a \( R=3.00 \mathrm{~cm} \), with a charge per unit length of \( \lambda=2.00 \times 10^{-8} \mathrm{C} / \mathrm{m} \). What is the magnitude \( E \) of the electric field at radial distance (a) \( r=R / 2.00 \) and (b) \( r=2.00 R \) ? (c) Graph \( E \) versus \( r \) forthe range \( r=0 \) to 2.00R.

3.33 • Uma canoa tem velocidade de \( 0,40 \mathrm{~m} / \mathrm{s} \) a sudeste em relação à Terra. A canoa se desloca em um rio que escoa a \( 0,50 \mathrm{~m} / \mathrm{s} \) para leste em relação à Terra. Determine o módulo, a direção e o sentido da velocidade da canoa em relação ao rio.

Q5. A charged particle with charge \( q \) enters a region of constant, uniform and mutually orthogonal fields \( \vec{E} \) and \( \vec{B} \) with a velocity \( \bar{v} \) perpendicular to both \( \vec{E} \) and \( \vec{B} \) and comes out without any charge in magnitude or directionof. Then (here \( \vec{E} \) is electric field and \( \vec{B} \) is magnetic field) இன்றுக்கொன்று செங்குத்தான,சாரா, மாறாத \( \vec{E} \) என்ற மின்புலம் மற்றும் \( \vec{B} \) என்ற காந்தப்புலத்தனன் வழியே \( q \) மின்னூட்டம் கொண்ட இரு துகளானது அதன் திசைவேகத்தின் எண் மதப்பு மற்றும் திசையில் எந்த மாற்றமும் இன்றி நுழைந்து வெளி வருகிறது எனில் பின்வருவனவற்றுள் எது சரி? \( \begin{array}{ll}\text { A. } \vec{B} \times \vec{E}=|\vec{E}|^{2} \vec{v} & \text { B. } \vec{E} \times \vec{B}=|\vec{B}|^{2} \vec{v} \\ \text { C. } \vec{B} \times \vec{E}=|\vec{B}|^{2} \vec{v} & \text { D. } \vec{E} \times \vec{B}=|\vec{E}|^{2} \vec{v}\end{array} \)

(c) Vektor kedudukan sebuah dron \( A, I \) saat selepas meninggalkan tempat berlepas ialah \( t\left(\frac{30}{15}\right) \) manakala vektor kedudukan dron \( B \) ialah \( \left(\frac{50}{5}\right)+t\left(\frac{10}{10}\right) \). Tentukan halaju bagi dron \( A \) dan dron B. Adakah dron \( A \) dan dron \( B \) akan bertembung? The position vector of a drone \( A, t \) seconds afler leaving the takeoff point is \( t\left(\frac{30}{15}\right) \) while the position vector of drone B is \( \left(\frac{50}{5}\right)+t\left(\frac{10}{10}\right) \). Determine the velocity of drone \( A \) and drone B. Will drone \( A \) and drone B collide? [3 markah/marks]