Determine the acceleration and position of the bullet

AI Thread Summary
The bullet's velocity is described by the equation v = (-4.80 × 10^7) t² + (2.45 × 10^5) t. The acceleration of the bullet is calculated as a function of time, yielding a = -9.6 × 10^7 t + 2.45 × 10^5. The position function derived from the velocity is initially incorrect due to significant figure errors. After correcting for significant figures, the user resolves the issue with the position calculation.
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Homework Statement





The speed of a bullet as it travels down the barrel of a rifle toward the opening is given by v = (-4.80 107) t 2 + (2.45 105) t, where v is in meters per second and t is in seconds. The acceleration of the bullet just as it leaves the barrel is zero.
(a) Determine the acceleration and position of the bullet as a function of time when the bullet is in the barrel. (Use t as necessary and round all numerical coefficients to exactly 3 significant figures.)



The Attempt at a Solution




acceleration = -9.6*10^7t + 2.45 * 10^5

position of bullet with as a function of time = -16000000t^3 + 122500t^2



I am getting the second one wrong and I do not know why. Displacement is the integral of velocity but it keeps saying I am wrong. I have tried using scientific notation, and a variety of other things, but always get it wrong.
 
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nvm I got it. I didn't use significant figures
 
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