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 +/- 0.1s
a) 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

(a). The average acceleration is 0.08 m/s².

(b). The uncertainty in the acceleration is ±0.0135 m/s².

Explanation:

Given that,

Initial velocity

Final velocity

Time

(a). We need to calculate the average acceleration

Using formula of acceleration

Put the value into the formula

(b). We need to calculate the uncertainty in the velocity

Using formula of the uncertainty

Put the value into formula

We need to calculate the uncertainty in the time

Using formula for time

We need to calculate the uncertainty in the acceleration

Using formula for acceleration

Put the value into the formula

Hence, (a). The average acceleration is 0.08 m/s².

(b). The uncertainty in the acceleration is ±0.0135 m/s².

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