An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their speed is given by v = (-4.60 ✕ 107) t2 + (2.55 ✕ 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 (in m/s2) and position (in m) of the bullet as a function of time when the bullet is in the barrel. (Use the following as necessary: t. Round all numerical coefficients to at least three significant figures. Do not include units in your answers. Assume that the position of the bullet at t = 0 is zero.)

Question

Physics

Reina Duffy

17 February, 14:52

An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their speed is given by v = (-4.60 ✕ 107) t2 + (2.55 ✕ 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 (in m/s2) and position (in m) of the bullet as a function of time when the bullet is in the barrel. (Use the following as necessary: t. Round all numerical coefficients to at least three significant figures. Do not include units in your answers. Assume that the position of the bullet at t = 0 is zero.)

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Nathalie Zavala · Answer 1

a = dv / dt = - 9.20 * 10⁷t + 2.55 * 10⁵

The solutio to this problem uses the concept of calculus and motion

The acceleration of the bullet is simple the result of differenyiating the velocity function with respect to time.