Solving Two Acceleration Problems: Homework Help Needed!

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To solve the first problem, the average acceleration of the sports car can be calculated using the formula a_avg = (v_f - v_i) / (t_f - t_i), resulting in approximately 4.06 m/s². For the second problem, the sprinter's acceleration is found similarly, yielding an acceleration of about 7.58 m/s² or 27.29 km/h². The key to both problems is understanding the formula for average acceleration and applying it to the given values. Clear explanations of the calculations help in grasping the concept. Understanding these procedures is essential for mastering acceleration problems.
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so here are the two problems:

1. a sports car accelerates from rest to 95 km/h in 6.2 s. What is its average acceleration in m/s2-->SQUARED?

2. a sprinter accelerates from rest to 10.0m/s in 1.32s. what is her acceleration(a) in m/s2, and (b) in km/h2?

plsss help me :cry: i need procedure so i can understand the explanation :redface: thanksss! :smile:
 
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Definition of average acceleration

a_{avg} = \frac{\Delta v}{\Delta t} \ or \ \frac{v_f-v_i}{t_f-t_i}

You are given changes in velocity and changes in time. Simply divide.
 
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Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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