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Question
- jerusha and anavi are working very hard to tend their organic veggie garden when jerusha sees a bunny nibbling on a tender lettuce leaf. in a fit of rage, anavi chases the fluffy little rabbit across the yard. the bunny darts from rest to 16km/hr in 3 seconds. what is the innocent little bunnys average acceleration?
Step1: Convert the final velocity to m/s
The initial velocity $u = 0$ m/s (starts from rest). The final velocity $v=16$ km/hr. Convert km/hr to m/s: $16\times\frac{1000}{3600}=\frac{16000}{3600}=\frac{40}{9}\approx4.44$ m/s.
Step2: Use the acceleration formula
The acceleration formula is $a=\frac{v - u}{t}$. Substitute $u = 0$ m/s, $v=\frac{40}{9}$ m/s and $t = 3$ s into the formula. $a=\frac{\frac{40}{9}-0}{3}=\frac{40}{9\times3}=\frac{40}{27}\approx1.48$ m/s².
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$\frac{40}{27}\text{ m/s}^2\approx1.48\text{ m/s}^2$