Question

Consider the following equation of the motion of a ball: s=0.5*g*t? where sis displacement, g is acceleration and t

is time. The percentage uncertainty in the value of tis -3% and that in the value of g is +-2%. Calculate the
percentage uncertainty in the value of s.

Answer 1

8 %

Step-by-step explanation:

The equation that shows the motion of a bll is :

s=0.5gt²

where,

s is displacement, g is acceleration and t is time.

The percentage uncertainty in the value of tis -3% and that in the value of g is +-2%.

`(\Delta t)/(t)=\pm3\%\\\\(\Delta g)/(g)=\pm2\%`

Percentage error in s is :

`(\Delta g)/(g)=(\Delta g)/(g)+2(\Delta t)/(t)\\\\(\Delta g)/(g)=2+2* 3\\\\(\Delta g)/(g)=8\%`

So, the percentage uncertainty in the value of s is 8%.