Answer:
a
The number of radians turned by the wheel in 2s is 
b
The angular acceleration is 
Explanation:
The angular velocity is given as

Now generally the integral of angular velocity gives angular displacement
So integrating the equation of angular velocity through the limit 0 to 2 will gives us the angular displacement for 2 sec
This is mathematically evaluated as

![= [\frac{2t^2}{2} + \frac{t^4}{4}] \left\{ 2} \atop {0}} \right.](https://tex.z-dn.net/?f=%3D%20%5B%5Cfrac%7B2t%5E2%7D%7B2%7D%20%2B%20%5Cfrac%7Bt%5E4%7D%7B4%7D%5D%20%5Cleft%5C%7B%202%7D%20%5Catop%20%7B0%7D%7D%20%5Cright.)
![= [\frac{2(2^2)}{2} + \frac{2^4}{4}] - 0](https://tex.z-dn.net/?f=%3D%20%5B%5Cfrac%7B2%282%5E2%29%7D%7B2%7D%20%2B%20%5Cfrac%7B2%5E4%7D%7B4%7D%5D%20-%200)


Now generally the derivative of angular velocity gives angular acceleration
So the value of the derivative of angular velocity equation at t= 2 gives us the angular acceleration
This is mathematically evaluated as

so at t=2


Answer:
Rest and motion are the relative terms because they depend on the observer's frame of reference. So if two different observers are not at rest with respect to each other, then they too get different results when they observe the motion or rest of a body.
Explanation With Example:
Imagine you are sitting inside a moving bus. When you look outside you will observe that you are moving. ... With respect to the roof of bus, you are at rest. Hence it is concluded that rest and motion are relative terms.
Answer:
Wg is positive and WT negative.
(Letters in options are all wrongly written).
Explanation:
Remember that the work of a force is the internal product between the force and the displacement
.
Since the displacement is downwards like the weight, the work done by gravity is positive, while the work done by the tension is negative since it points upwards.
After the ball leaves the woman's hand, the only relevant force acting on the ball is the gravity, which produces an acceleration of a=g=9.81 m/s^2 on the baseball, directed downward.
Gravity acts on the ball for the whole duration of the motion, so the acceleration of the ball is

at every point of the motion, and therefore also when the baseball is at its highest point.
Testing the electrical resistance of different materials. it is the answer