Kinetic energy = 1/2 m v^2 = 1/2 x1.5 x10^-3 x 0.36
Answer:
Aeronautical science is the science of flight, and this field relates to careers involved with the design and development of aircraft. Aeronautical engineers study how flight may be achieved within the earth's atmosphere and use that knowledge to pilot or design airplanes.
Explanation:
Answer:
The acceleration of the object is -69.78 m/s²
Explanation:
Given;
postion of the particle:
![x = 32t - 38\frac{t^3}{3} \\\\](https://tex.z-dn.net/?f=x%20%3D%2032t%20-%2038%5Cfrac%7Bt%5E3%7D%7B3%7D%20%5C%5C%5C%5C)
The velocity of the particle is calculated as the change in the position of the particle with time;
![v = \frac{dx}{dt} = 32 - 38t^2\\\\when \ the \ particle \ is \ at \ rest, \ v = 0\\\\32-38t^2 = 0\\\\38t^2 = 32\\\\t^2 = \frac{32}{38} \\\\t = \sqrt{\frac{32}{38} } \\\\t = 0.918 \ s](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%2032%20-%2038t%5E2%5C%5C%5C%5Cwhen%20%5C%20the%20%5C%20particle%20%5C%20is%20%5C%20at%20%5C%20rest%2C%20%5C%20v%20%3D%200%5C%5C%5C%5C32-38t%5E2%20%3D%200%5C%5C%5C%5C38t%5E2%20%3D%2032%5C%5C%5C%5Ct%5E2%20%3D%20%5Cfrac%7B32%7D%7B38%7D%20%5C%5C%5C%5Ct%20%3D%20%5Csqrt%7B%5Cfrac%7B32%7D%7B38%7D%20%7D%20%5C%5C%5C%5Ct%20%3D%200.918%20%5C%20s)
Acceleration is the change in velocity with time;
![a = \frac{dv}{dt} = -76t\\\\recall , \ t = 0.918 \ s\\\\a = -76(0.918)\\\\a = -69.78 \ m/s^2](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D%20-76t%5C%5C%5C%5Crecall%20%2C%20%5C%20t%20%3D%200.918%20%5C%20s%5C%5C%5C%5Ca%20%3D%20-76%280.918%29%5C%5C%5C%5Ca%20%3D%20-69.78%20%5C%20m%2Fs%5E2)
Answer:
c. in the absence of an unbalanced force, an object at rest will stay at rest and an object in motion will stay in motion.
Explanation:
First law: things keep doing what they are doing, unless force is applied.