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An initially motionless test car is accelerated uniformly to 120 km/h in 8.28 s before striking a simulated deer. The car is in contact with
Question
An initially motionless test car is accelerated uniformly to 120 km/h in 8.28 s before striking a simulated deer. The car is in contact with the faux fawn for 0.815 s, after which the car is measured to be traveling at 71.0 km/h. What is the magnitude of the acceleration of the car before the collision
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Physics
3 years
2021-07-25T23:46:45+00:00
2021-07-25T23:46:45+00:00 1 Answers
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Answer:
The value is![Rendered by QuickLaTeX.com a = 4.0 \ m/s^2](https://documen.tv/wp-content/ql-cache/quicklatex.com-56fdd73dd29f2155db06829a4e5287f1_l3.png)
Explanation:
From the question we are told that
The velocity is
[/tex]
The time taken is![Rendered by QuickLaTeX.com t = 8.28 \ s](https://documen.tv/wp-content/ql-cache/quicklatex.com-4fac873ef36a05ad3fc4dd6e3ba76e49_l3.png)
The time taken for contact is![Rendered by QuickLaTeX.com t_c = 0.815 \ s](https://documen.tv/wp-content/ql-cache/quicklatex.com-df08ae55353fca7c76b035d3632922d5_l3.png)
The velocity of the of the car after contact is
[/tex]
From the equation of kinematics we have that
Here u = 0 \ m/s since the car is initially motionless
=>![Rendered by QuickLaTeX.com 33.3 = 0 + a * 8.28](https://documen.tv/wp-content/ql-cache/quicklatex.com-dbd32f6f51d482107aabda8143f308ba_l3.png)
=>![Rendered by QuickLaTeX.com a = 4.0 \ m/s^2](https://documen.tv/wp-content/ql-cache/quicklatex.com-56fdd73dd29f2155db06829a4e5287f1_l3.png)