2 dimensional motion - calculate magnitude of acceleration

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SUMMARY

The discussion centers on calculating the magnitude of constant acceleration required for an automobile to travel 0.40 km in 9.0 seconds, starting from rest. The initial velocity (Vi) is 0 m/s, and the final position (xf) is 400 m. Using the kinematic equation, the calculated acceleration (a) is 9.88 m/s², which rounds to 9.9 m/s², confirming that option "a" is the correct answer. Participants agree on this solution, reinforcing the accuracy of the calculation.

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  • Familiarity with units of measurement in physics (meters, seconds)
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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.
 

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