To find the acceleration of a glider moving down a sloping air track, you measure its velocities (v1 and v2) at two points and the time t it takes between them, as follows: v1=0.21+/- 0.05m/s, v2=0.85 +/- 0.05m/s, t=8.0 +/- 0.1sa) assuming all uncertainties are independent and random, find the average acceleration, a=(v2-v1)/t , and its uncertainty. b) how well does your result in part (a) agree with your friends theoretical prediction that a=0.13 +/- 0.01m/s^2.

explanation:

as the height from which the ruler was dropped increased, the speed of the ruler at ryan's hand increased.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

electrical potential energy =0.072 j

explanation:

electrical potential energy is given by

u= q δv

q= charge=6 c

δv= potential difference and is given by

δv= e d

e= electric field

d= distance=5 mm=0.005 m

δv=2.4 (0.005)=0.012 v

now electric potential energy= u= q δv

u=6 (0.012)

u=0.072 j

2.6 and i can kick good lol