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Given the equation:

\[ a = \frac{v - u}{t} \]

where \( v = 37.6 \) (correct to 3 significant figures),

find the upper bound of \( a \).

Answer :

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.

Show your working clearly

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