Find the Position Vector of a Particle That Has the Given

question 117

Short Answer

Find the position vector of a particle that has the given acceleration and the given initial velocity and position.
$$\mathbf { a } ( t ) = - 4 \mathbf { k } , \mathbf { v } ( 0 ) = \mathbf { i } + \mathbf { j } - 20 \mathbf { k } , \mathbf { r } ( 0 ) = 4 \mathbf { i } + 9 \mathbf { j }$$

---

Definitions:

Compressed Air Reservoir

A tank or container designed to hold compressed air at a desired pressure, used in pneumatic systems for energy storage or distribution.

Air Brakes

Pneumatically actuated brakes used on most heavy-duty trucks. These brakes use air pressure to brake the vehicle by means of diaphragms, levers, S-cams, wedges, and rotor assemblies.

Safety Pressure Relief Valve

A term used to describe the pressure relief valve used on truck air brake systems more often known as a pop-off valve. Most pop-off valves are set to trip at 150 psi and are located on the supply (wet) tank in the system.

Truck Safety

Measures and practices implemented to ensure the safe operation of trucks, including equipment standards and driving regulations.