(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The speed of a bullet as it travels down the barrel of a rifle toward the opening is given by v = (-5.95 multiplied by 107) t 2 + (2.45 multiplied by 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.

(b) Determine the length of time the bullet is accelerated.

(c) Find the speed at which the bullet leaves the barrel.

(d) What is the length of the barrel?

2. Relevant equations

Taking the derivative of the given equation, I got the function for acceleration, and integrating the given function, I got the position function.

a(t)=-1.19*10^8t+2.45*10^5

x(t)=-1.98*10^7t^3+1.23*10^5t^2

3. The attempt at a solution

(b)Using the acceleration formula I derived, I plugged in 0 because the given info says that the acceleration of the bullet just as it leaves the barrel is 0, and got an answer of .002m/s^2. The Webassign is telling me that the answer is within 10% of the correct answer, but I'm stuck.

(c&d) I don't even think there is enough information to solve for either of these.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Motion in One Dimension (Using Calculus)

**Physics Forums | Science Articles, Homework Help, Discussion**