Maximizing the Range of A Projectile (non-zero initial height)
This problem can be done in a straightforward manner with calculus, though its long. A much better
method was found some years ago by P. Paly-Muhoray and D. Balzarini (Amer. Jour. Phys. 50 (19
CAMBRIDGE INTERNATIONAL EXAMINATIONS
Cambridge International Advanced Level
MARK SCHEME for the October/November 2014 series
9708 ECONOMICS
9708/33
Paper 3 (Multiple Choice Supplement),
maximum raw mark 30
Mark schemes should be read in conjunction with t
1 Use the relevant standard results in the List of Formulae to prove that
N
SN = 2(8113—6111)=N(N+1)(2N3— 1)t [2]
11:]
Hence show that
M a
2 (8113 - 6n")
n:N+l
can be expressed in the form
mm3 + m2 + ('N + d).
where the constants a. b. c, 11 are to be det
Total Marks 20
Quiz1: Mechanics
Name:
Time: 45 minutes
Roll no.:
1. A terrorist is ying horizontally in a helicopter at a constant speed of 215 km/hr at
a distance of 78 m from the ground. He wants to drop a bomb onto a car which is
travelling at 155 km/h
The Art and Science of Java
Preliminary Draft
Eric S. Roberts Stanford University Stanford, California January 2006
Preface
This text is an early draft for a general introductory textbook in computer sciencea Java-based version of my 1995 textbook The Art
Physics 110
Exam #1
September 30, 2013
Name_
Please read and follow these instructions carefully:
Read all problems carefully before attempting to solve them.
Your work must be legible, and the organization clear.
You must show all work, including correct
46492_04_p58-86.qxd 7/7/06 9:44 AM Page 58
4
Motion in Two and
Three Dimensions
Source: Rob Tringali/Sports Chrome Inc.
When a high y ball is hit to the outeld, how does the outelder in the
area know where to be in order to catch it? Often the outelder wi
Dr. Mitchell A. Hoselton
Halliday, Resnick and Walker
Fundamentals of Physics
AP Physics C
Serway and Beichner
Physics for Scientists and Engineers
Page 1
Projectile Motion Equations - Y as a function of x, , g;
the Range equation; the Maximum Height equa
Summary of Waves (AS)
15 waves
Learning outcomes
Candidates should be able to:
(a) describe what is meant by wave motion as illustrated
by vibration in ropes, springs and ripple tanks
(b) show an understanding of and use the terms
displacement, amplitude,