COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Question
Chapter 3, Problem 8QAP
To determine
(a)
The angle at which the longest range is achieved by projectile.
To determine
(b)
The angle at which the longest time of flight is achieved.
To determine
(c)
The angle at which the greatest height of flight is achieved.
The angle at which the greatest height is achieved by projectile is
Calculation:
When the projectile will reach maximum height then the vertical component of velocity will be zero,
The maximum value of h will exist when
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Example(3):- A projectile is
the edge of a 150 m cliff with an initial
velocity of 180 m/sec at an angle of 30° with the horizontal. Neglecting air
resistance, find:-
(a) The horizontal distance from the gun to the point where the projectile strikes
the ground.
(b) The greatest elevation above the ground reached by the projectile.
Ans. (a) X = 3102.4 m, (b) Greatest elevation = 562. 8 m
180 mis
150 m
i) A particle is launched into the air from the ground with launch speed 8 m/s. The speed of theparticle at maximum height is 4 m/s. Finda) the launch angle. b) maximum height reached by the particle. c) range of the particle. ii) In projectile motion, what assumption makes the horizontal speed constant? iii) A particle rises 40 m in the first 2 s. What is its initial speed as it leaves the ground?
From the edge of the roof of a 40 m high building an object is thrown with a speed v0 = 70 m / s and a throw angle with respect to the horizontal of 55 °. Determine:
a) The horizontal and vertical components of the initial velocity.
b) The distance from the base of the building at which the object will fall to the ground
c) The time the object is in the air from when it is thrown until it reaches the ground.
d) The maximum height that the object will reach above the ground.
e) The velocity v of the object at the moment it hits the ground.
f) The angle a with respect to the vertical with which the object reaches the ground.
Chapter 3 Solutions
COLLEGE PHYSICS
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