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Minors on Campus Policy MidAmerica Christian University Purpose: The purpose of these policies and procedures is to provide guidelines for appropriate supervision and protection of minors participating.

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Answer and Explanation: 45 degrees is the optimal angle because it is the optimal combination of forward and upward components of velocity that give the projectile sufficient forward velocity and hang time to produce the greatest range.

Launch angles closer to 45 ° 45\degree 45° give longer maximum horizontal distance (range) if initial speed is the same (see figure 5 above). These launches have a better balance of the initial velocity components that optimize the horizontal velocity and time in air (see figure 4).

To calculate projectile motion at an angle, first resolve the initial velocity into horizontal and vertical components. The x−component (horizontal) is: vx=vcosθ. The y−component (vertical) is: vy=vsinθ. Analysis of projectile motion involves dealing with two motions independently.

The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.

What is the projectile-motion equation? The projectile-motion equation is s(t) = −½ gx2 + v0x + h0, where g is the constant of gravity, v0 is the initial velocity (that is, the velocity at time t = 0), and h0 is the initial height of the object (that is, the height at of the object at t = 0, the time of release).

For ideal projectile motion, which starts and ends at the same height, maximum range is achieved when the firing angle is 45°.

The cannonball launched at a 45-degree angle had the greatest range. The cannonball launched at a 60-degree angle had the highest peak height before falling. The cannonball launched at the 30-degree angle reached the ground first.

So our equation for the launch angle of the projectile is 𝜃 equals the inverse sin of the square root of two 𝑔ℎ divided by 𝑉. All that's left to do is to substitute our known values of 𝑉, 𝑔, and ℎ into this equation to calculate 𝜃. The question tells us that the initial speed of the projectile is 28 meters per second.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232