Train moving with speed of \( (40 \mathrm{~m} / \mathrm{s}) \) the driver have resorted to the use of brakes to reduce the speed of the train movement by rate \( \left(-2 \mathrm{~m} / \mathrm{s}^{2}\right) \) Calculate: a) The amount of time it takes for the train even stops completely. b) The amount of distance traveled since the train began braking until it stops

27. Two trains, 1 and 2 , have an equal mass of \( m=5,000 \mathrm{~kg} \) each. Train 1 is traveling with a speed \( n=15 \mathrm{~m} / \mathrm{s} \) before striking train 2 , which was at rest. If the two trains lock together as the result of the collision. What is their common speed immediately after collision?

10. The distance travelled by a free falling object varies directly to the square of the time taken. Given that an object dropped a distance of 19.6 m after 2 seconds, find the distance dropped after 5 seconds.

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;

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? \( \begin{array}{ll}\text { A. } \vec{B} \times \vec{E}=|\vec{E}|^{2} \vec{v} & \text { B. } \vec{E} \times \vec{B}=|\vec{B}|^{2} \vec{v} \\ \text { C. } \vec{B} \times \vec{E}=|\vec{B}|^{2} \vec{v} & \text { D. } \vec{E} \times \vec{B}=|\vec{E}|^{2} \vec{v}\end{array} \)

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.