Answer to Question #251350 in Physics for Laxus

Question #251350

5.     

A car starts from rest and accelerates

uniformly over a time of 5.59 seconds for a distance of 150.00 m. Determine the

acceleration of the car.



 



6.     

Rocket-powered sleds are used to test

the human response to acceleration. If a rocket-powered sled is accelerated to

a speed of 360.00 m/s in 2.50 seconds, then what is the acceleration of the

rocket? What is the distance that the sled travels?


1
Expert's answer
2021-10-14T18:38:55-0400

5. Using the kinematic equation, obtain:


d=at22d = \dfrac{at^2}{2}

where d=150.00md = 150.00m is the distance, t=5.59st = 5.59s is the time, and aa is the acceleration. Expressing aa, obtain:


a=2dt2=2150m(5.59s)29.60m/s2a = \dfrac{2d}{t^2} = \dfrac{2\cdot 150m}{(5.59s)^2} \approx 9.60m/s^2

6. By definition of acceleration:


a=vv0ta = \dfrac{v-v_0}{t}

where v=360.00m/sv = 360.00m/s is the final speed, v0=0v_0 = 0 is the initial speed, and t=2.50st=2.50s is the time. Thus, obtain:


a=360m/s02.50s=144m/s2a = \dfrac{360m/s-0}{2.50s} = 144m/s^2

The distance is determined with the same equation as in 5):


d=at22=144m/s2(2.5s)22=450md = \dfrac{at^2}{2} = \dfrac{144m/s^2\cdot (2.5s)^2}{2} = 450m

Answer. 5) 9.60m/s^2, 6) 144m/s^2 and 450m.


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