An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their speed is given by v = (-4.75 x 107)t² + (2.20 x 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.) m/s² a(t) = x(t) (b) Determine the length of time the bullet is accelerated (in s). S m (c) Find the speed at which the bullet leaves the barrel (in m/s). m/s (d) What is the length of the barrel (in m)? m

An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their speed is given by v = (-4.75 x 107)t² + (2.20 x 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.) m/s² a(t) = x(t) (b) Determine the length of time the bullet is accelerated (in s). S m (c) Find the speed at which the bullet leaves the barrel (in m/s). m/s (d) What is the length of the barrel (in m)? m

Name: An antique rifle fires 9 mm bullets such that as they travel down the
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their speed is given byv = (-4.75 x 107)t² + (2.20 × 105)t,where v is in meters per second and t is in seconds. The acceleration of the bullet just as it leave

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 69P: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...

See similar textbooks

Similar questions

Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13
The equation r(t) = ( sin t)i + ( cos t)j + (t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. π Then write the particle's velocity at t= as a product of its speed and direction. The velocity vector is v(t) = (i+j+ k.
An object's velocity as a function of time in one dimension is given by the expression; v(t) = 3.8t + 6.68 where are constants have proper SI Units. At what time is the object's velocity 61.2 m/s?
An object's velocity as a function of time in one dimension is given by the expression; v(t) = 2.71t + 7.88 where are constants have proper SI Units. What is the object's velocity at t = 4.19 s?
A student solving a physics problem for the velocity of an object has applied appropriate physics principles and obtained the expression v=d/t−v0, where d=35.0meter, t=9.00second, and v0 =3.00meter/second. What is the velocity v?
A rocket takes off from a launchpad on the moon at y = 0 m. The velocity of the rocket is given by the equation: v(t)=1.20(22)+0.450(22)^2 Where all the quantities are in base S.I. units. On the moon, air resistance is negligible and the acceleration due to the moon's gravity is 9moon = 1.63 m/s^2. The rocket boosters are unable to reignite. Determine the total flight time of the rocket from the initial launch until it hits the ground. a) 329 seconds b) 307 seconds c) 14.5 second d) 44.0 seconds
The path of motion of a 7-lblb particle in the horizontal plane is described in terms of polar coordinates as rr = (2 tt ++ 1)ftft and θθ = (0.5 t2t2 −− tt) radrad, where tt is in seconds.
Vectors u = −10i + 3j and v = −7i − 9j. What is u − v? a −17i − 6j b 17i + 6j c 3i − 12j d −3i + 12j
Light travels at a speed of about 3.0 x 108 m/s. (a) How many miles does a pulse of light travel in a time interval of 0.1 s, which is about the blink of an eye? Ax = mi (b) Compare this distance to the diameter of Earth. (Use 6.38 x 106 m for the radius of the Earth.) Ax DE
An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume constants have proper SI Units) An object's instantaneous velocity at t = 3.00 seconds is 45.5 m/s What is the object's average velocity between t = 0 and t = 3.00 seconds? Answer is 68.0 m/s^2 What is the object's average acceleration between t = 0 and t = 3.00 s Answer : - 50.5 m/s^2
The position of a particle in space at time tis: r(t) = (sec(t)) * i + (tan t) * j + 4/3 tk. Write the particle's velocity at time t = (pi / 6) as the product of its speed and direction.
A space shuttle is fired and the position of the shuttle is given by r(t)=(2*t*t-5*t)i+ (3*t+1)j+(12*t*t*t)k where t is in seconds, r is in meters and ij,k are the unit vectors of x,y,z directions respectively. Find the average acceleration of the space shuttle between the time interval t=10 s and t=1 minutes. *