MY NOTES ASK YOUR TEACHER A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of 80 m/s). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall. Round your answers to one decimal place. Use g- 9.8 m/s. Enter your answer using interval notation. Enter your answer in terms of degrees without using a degree symbol.) MY NOTES ASK YOUR TEACHER Find the tangential and normal components of the acceleration vector. r(t) - (2 + t)+ ( - 2t)1 MY NOTES ASK YOUR TEACHER Find the tangential and normal components of the acceleration vector. r(t) - ti+ + sek

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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MY NOTES
ASK YOUR TEACHER
A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of 80 m/s).
At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall. Round your answers to one decimal place. Use g - 9.8 m/s. Enter your answer using interval notation. Enter your answer in terms of degrees without using a degree symbol.)
e e
MY NOTES
ASK YOUR TEACHER
Find the tangential and normal components of the acceleration vector.
r(t) - (2 + t)i + (r - 2t)1
MY NOTES
ASK YOUR
EACHER
Find the tangential and normal components of the acceleration vector.
r(t) - ti + t + stk
a, -
ON =
Transcribed Image Text:MY NOTES ASK YOUR TEACHER A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of 80 m/s). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall. Round your answers to one decimal place. Use g - 9.8 m/s. Enter your answer using interval notation. Enter your answer in terms of degrees without using a degree symbol.) e e MY NOTES ASK YOUR TEACHER Find the tangential and normal components of the acceleration vector. r(t) - (2 + t)i + (r - 2t)1 MY NOTES ASK YOUR EACHER Find the tangential and normal components of the acceleration vector. r(t) - ti + t + stk a, - ON =
Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. Then on your own using a computer, graph the path of the particle.
a(t) = 7ti + e'j + e*k, v(0) = k,
r(0) = i+ k
r(t)
A projectile is fired with an initial speed of 190 m/s and angle of elevation 60°. (Use g = 9.8 m/s?. Round your answers to the nearest whole number.)
(a) Find the range (in m) of the projectile.
(b) Find the maximum height (in m) reached.
m
(c) Find the speed (in m/s) at impact.
m/s
Transcribed Image Text:Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. Then on your own using a computer, graph the path of the particle. a(t) = 7ti + e'j + e*k, v(0) = k, r(0) = i+ k r(t) A projectile is fired with an initial speed of 190 m/s and angle of elevation 60°. (Use g = 9.8 m/s?. Round your answers to the nearest whole number.) (a) Find the range (in m) of the projectile. (b) Find the maximum height (in m) reached. m (c) Find the speed (in m/s) at impact. m/s
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