Give an example of a situation when it would be appropriate to round a number and a situation in which it would not be appropria
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Answer:
a) 9.00 m b) 6.00 m/s c) 12.00 m/s
Explanation:
a) If the acceleration is constant, and we know that the displacement during the first second was 3.00 m, as the boulder (assumed that we can treat it as a point mass) started from rest, we can say the following:
Δx = = 3.00 m
As t = 1 s, replacing in the expression above, and solving for a, we have:
= 6.00 m/s²
In order to know how far it travels during the second second, we need to know the value of the speed after the first second, as it is the initial velocity when the second second begins:
vf = v₀ + a*t ⇒ vf = 0 + 6 m/s²*1s = 6.00 m/s
The total displacement, during the second second, will be as follows:
Δx = v₀*t + = 6.00m/s*1s +
⇒ Δx = 9.00 m
b) At the end of the first second, the final speed can be obtained as follows:
vf = v₀ + a*t ⇒ vf = 0 + 6 m/s²*1s = 6.00 m/s
c) At the end of the second second, the final speed can be obtained as follows:
vf = v₀ + a*t ⇒ vf = 0 + 6 m/s²*2s = 12.00 m/s