Answer:
0.24
Explanation:
Mass of ball= 12g=0.012Kg
height of ball= 2.5m
velocity of ball before falling= 3.2m/s
potential energy of the ball=mgh= 0.012*10*2.5=0.3J
kinetic energy of the ball=0.5*m
=0.5*0.012*3.2*3.2=0.6J
Loss in mechanical energy during the fall= potential energy- Kinetic energy= 0.3-0.06=0.24J
note: During the fall, the potential energy of the ball is converted to kinetic energy. the loss in energy is due to air resistance.
Answer:
We know that the acceleration of the particle is defined as

Since it is given that

Now by definition of velocity we have

Integrating on both sides we get

Applying values we get

To find the constant we note that at t=1 the particle is at x=12 Thus applying values in the above equation we get

Yes, all of these could be applied to a roller coaster.
A and C because GMO's can give people a large rash