The parametric equations that model the path of the shell as a function of time t (in sec) given that after launch, an artillery specialist fires a shell from 1 m above the ground, with a muzzle velocity of 96 m/sec at an angle of 16 ° from the horizontal. Choose a coordinate system with the origin at ground level directly below the launch position.
The parametric equations that model the path of the shell as a function of time t (in sec) given that after launch, an artillery specialist fires a shell from 1 m above the ground, with a muzzle velocity of 96 m/sec at an angle of 16 ° from the horizontal. Choose a coordinate system with the origin at ground level directly below the launch position.
Solution Summary: The author describes the parametric equations that model the path of the shell as a function of time t (in sec).
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Chapter 10.6, Problem 51PE
(a)
To determine
The parametric equations that model the path of the shell as a function of time t (in sec) given that after launch, an artillery specialist fires a shell from 1m above the ground, with a muzzle velocity of 96 m/sec at an angle of 16° from the horizontal. Choose a coordinate system with the origin at ground level directly below the launch position.
(b)
To determine
To calculate : The time required for the shell to hit the ground if an artillery specialist fires a shell from 1m above the ground, with a muzzle velocity of 96 m/sec at an angle of 16° from the horizontal.
(c)
To determine
To calculate : The horizontal distance that the shell travels before it hits the ground if an artillery specialist fires a shell from 1m above the ground, with a muzzle velocity of 96 m/sec at an angle of 16° from the horizontal.
(d)
To determine
To calculate : The time when shell is maximum height if an artillery specialist fires a shell from 1m above the ground, with a muzzle velocity of 96 m/sec at an angle of 16° from the horizontal.
(e)
To determine
To calculate : The maximum height if an artillery specialist fires a shell from 1m above the ground, with a muzzle velocity of 96 m/sec at an angle of 16° from the horizontal.
The supply function for oil is given (in dollars) by S(q), and the demand function is given (in dollars) by D(q).
S(q)=q²+
=q²+14q, D(q) = 1088-16q-q²
a. Graph the supply and demand curves.
Choose the correct graph. S(q) is the solid line, and D(q) is the dashed line.
A.
AP
1000
50
B.
AP
1000-
9 V
50
b. Find the point at which supply and demand are in equilibrium.
The equilibrium point is
(Type an ordered pair.)
○ C.
○ D.
AP
1000-
1000
AP
50
50
1 Written problems
1. Solve x'
0 1
-1
0
]
x +
Please help me answer questions 1-18. I've been searching the internet and I know this is really easy. I just need the correct answers with simple explanations. Every AI is telling me different things. I don't get it and I'm on the verge of tears. Please help a girl out. Yes, I got a 19%....
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.