The upper bound for the value of a is 3.09.
Here's how to find the upper bound for the value of a:
Step 1: Find the upper bounds for v, u, and t.
Since v = 37.6 is rounded to 3 significant figures, its upper bound is 37.6 + 0.5 * 0.1 = 37.7.
Since u = 11.3 is rounded to 3 significant figures, its upper bound is 11.3 + 0.5 * 0.1 = 11.4.
Since t = 8.4 is rounded to 2 significant figures, its upper bound is 8.4 + 0.5 * 0.2 = 8.6.
Step 2: Substitute the upper bounds into the formula for a.
The formula for a is:
a = (v - u) / t
Substituting the upper bounds, we get:
a_upper = (37.7 - 11.4) / 8.6 = 3.094
Step 3: Round the answer to the appropriate number of significant figures.
The answer should be rounded to the same number of significant figures as the least precise measurement, which is t with 2 significant figures.
Therefore, the upper bound for a is rounded to 3.09.
Question
A= v-u/ t
v = 37. 6 correct to 3 significant figures.
u = 11. 3 correct to 3 significant figures.
t = 8. 4 correct to 2 significant figures.
Work out the upper bound for the value of a.
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