Question

the distance travelled by an object in time hundred plus minus one years is 5.2 plus minus 0.1 M what is the speed and its error

Answer 1

Answer:

19.23 ± 0.56 m/s.

Explanation:

From the question we get that distance = 100 ± 1 seconds and the time = 5.2 ± 0.1 m.

So, we know that Speed = Distance/Time.

Hence, the Speed = 100/5.2

Speed = 19.23 m/s.

Since, for every value there is an error in the data, hence we let that Δx be the error in speed.

So, we get that Δx/x= Δa/a + Δb/b im which a is the distance and b is the time.

Δx/x=0.1/5.2 + 1/100

Δx/x= 0.019 + 0.01

So, on calculating Δx/x=0.029

Hence, Δx = 19.23 × 0.029

Therefore, Δx = 0.56

Consequently the Speed will be found to be = 19.23 ± 0.56 m/s.