2 dimensional motion - calculate magnitude of acceleration

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To calculate the magnitude of constant acceleration needed for an automobile to travel 0.40 km in 9.0 seconds from rest, the formula used is xf - xi = Vit + 1/2At². Substituting the values, the equation simplifies to 400 m = 0 + 1/2A(9.0 s)². Solving for acceleration yields a result of approximately 9.88 m/s². The closest answer choice is "a" at 9.9 m/s², which is confirmed by multiple participants in the discussion. This calculation highlights the importance of understanding kinematic equations in physics.
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Homework Statement



an automobile manufacturer claims that its product will, starting from rest, travel 0.40 km in 9.0s. What is the magnitude of the constant acceleration required to do this?

2. The attempt at a solution

Vi = 0 m/s
t = 9.0 s
xi = 0 m
xf = 400 m

xf- xi = Vit + 1/2At2
1/2 A = xf-xi-Vit/t2

400m - 0 - (0)(9)/(92) = 1/2A

a = 9.88 m/s2

POSSIBLE ANSWERS:

a. 9.9 m/s2
b. 8.9 m/s2
c. 6.6 m/s2
d. 5.6 m/s2
e. 4.6 m/s2

My vote is for "a" IS THIS CORRECT? I find physics very difficult and would appreciate any guidance. Thank you very much!
 
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I agree, a is the answer.
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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