EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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3.00 m,
37P The three vectors in Fig. 3-31 have magnitudes a =
b = 4.00 m, and c =
10.0 m. What are (a) the x component and
(b) the y component of ā; (c) the
x component and (d) the y com-
ponent of b; and (e) the x com-
ponent and (f) the y component
of ĉ? If & = pā + qb, what are
the values of (g) p and (h) q? ilw
30°
a
Fig. 3-31 Problem 37.
(i) A particle is launched into the air from the ground with launch speed 8 m/s. The speed of the particle at maximumheight is 4 m/s. Find
a) 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?
y
B (B=26.5)
56.0°
A (A = 44.0)
28.0°
C(C= 31.0)
x
15. (II) For the vectors shown in Fig. 3-41, determine
(a) B-2A, (b) 2A - 3B + 2C.
Chapter 3 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 3.2 - Prob. 1AECh. 3.3 - What does the incorrect vector in Fig. 36c...Ch. 3.8 - Prob. 1DECh. 3.8 - The maximum range of a projectile is found to be...Ch. 3 - One car travels due east at 40 km/h. and a second...Ch. 3 - Can you conclude that a car is not accelerating if...Ch. 3 - Prob. 3QCh. 3 - Can the displacement vector for a particle moving...Ch. 3 - During baseball practice, a batter hits a very...Ch. 3 - If V=V1+V2, is V necessarily greater than V1...
Ch. 3 - Prob. 7QCh. 3 - Can two vectors, of unequal magnitude, add up to...Ch. 3 - Can the magnitude of a vector ever (a) equal, or...Ch. 3 - Can a particle with constant speed be...Ch. 3 - Prob. 11QCh. 3 - In archery, should the arrow be aimed directly at...Ch. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - Prob. 15QCh. 3 - A projectile is launched at an upward angle of 30...Ch. 3 - A projectile has the least speed at what point in...Ch. 3 - Two cannonballs, A and B, are fired from the...Ch. 3 - A person sitting in an enclosed train car, moving...Ch. 3 - If you are riding on a train that speeds past...Ch. 3 - Two rowers, who can row at the same speed in still...Ch. 3 - If you stand motionless under an umbrella in a...Ch. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 1PCh. 3 - Prob. 3PCh. 3 - (II) Graphically determine the resultant of the...Ch. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - (II) (a) Given the vectors A and B shown in Fig....Ch. 3 - (II) Determine the vector AC, given the vectors A...Ch. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - (I) What was the average velocity of the particle...Ch. 3 - Prob. 21PCh. 3 - (II) At t = 0, a particle starts from rest at x =...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - (II) A fire hose held near the ground shoots water...Ch. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - (II) (a) A long jumper leaves the ground at 45...Ch. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - (II) Suppose the kick in Example 3-7 is attempted...Ch. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - (I) Huck Finn walks at a speed of 0.70m/s across...Ch. 3 - (II) Determine the speed of the boat with respect...Ch. 3 - Prob. 65PCh. 3 - (II) A passenger on a boat moving at 1.70 m/s on a...Ch. 3 - Prob. 67PCh. 3 - (II) In what direction should the pilot aim the...Ch. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - (II) A swimmer is capable of swimming 0.60 m/s in...Ch. 3 - (II) A swimmer is capable of swimming 0.60m/s in...Ch. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75PCh. 3 - Prob. 76GPCh. 3 - Prob. 77GPCh. 3 - Prob. 78GPCh. 3 - Prob. 79GPCh. 3 - (II) Here is something to try at a sporting event....Ch. 3 - Prob. 82GPCh. 3 - Prob. 83GPCh. 3 - Prob. 84GPCh. 3 - Prob. 85GPCh. 3 - Prob. 86GPCh. 3 - Prob. 87GPCh. 3 - Prob. 88GPCh. 3 - Prob. 89GPCh. 3 - Prob. 90GPCh. 3 - Prob. 91GPCh. 3 - Prob. 93GPCh. 3 - Prob. 95GPCh. 3 - The speed of a boat in still water is v. The boat...Ch. 3 - At t = 0 a batter hits a baseball with an initial...Ch. 3 - Prob. 98GPCh. 3 - Prob. 99GPCh. 3 - Prob. 100GPCh. 3 - Prob. 101GPCh. 3 - Prob. 102GP
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- (3) A basketball player is running at 4.60 m/s directly toward a 3 meter high basket when he jumps into the air to dunk the ball. He maintains the given horizontal velocity. (a) What initial vertical velocity (in m/s) does he need to rise to a maximum height 3 meters above the floor? (b) How far (in m) from the basket (measured in the horizontal direction) must he start his jump to reach his maximum height at the same time as he reaches the basket?arrow_forwardGiven a parametric parabolic trajectory of x = 56t and y = 76t - 4.9t where x and y are measured in meters and t is measured in seconds. 120 m Determine the following 1) the vector of acceleration during the flight, 2) the vector of velocity at O 3) the maximum height h and the range L.arrow_forwardIn a friendly game of handball, you hit the ball essentially atground level and send it toward the wall with a speed of 16 m>s atan angle of 37° above the horizontal. (a) What amount of time isrequired for the ball to reach the wall if it is 3.3 m away? (b) Howhigh is the ball when it hits the wall?arrow_forward
- (b) A particle moves with position y = 2x , where x and y are in meters. The velocity in x direction is v, = 31² . Determine the velocity at time t = 5 s and write in unit vectors.arrow_forward(II) An airplane is heading due south at a speed of 688 km/hIf a wind begins blowing from the southwest at a speed of 90.0 km/h (average), calculate (a) the velocity (magnitude and direction) of the plane, relative to the ground, and (b) how far from its intended position it will be after 11.0 min if the pilot takes no corrective action.[Hint: First draw a diagram.arrow_forwardA projectile is fired with an initial speed of 40 m/s at angle of 23 degrees above the horizontal on a long flat firing range. Determine (1) the maximum vertical distance reached by the projectile, (2) the total time in the air, (3) the range of the projectile, (4) the velocity of the projectile 2 s after firing.arrow_forward
- (II) A projectile is fired with an initial speed of 36.6 m/sat an angle of 42.2° above the horizontal on a long flatfiring range. Determine (a) the maximum height reachedby the projectile, (b) the total time in the air, (c) the totalhorizontal distance covered (that is, the range), and (d) thespeed of the projectile 1.50 s after firing.arrow_forward6) A projectile is fired at an inclination of 45° to the horizontal, with a muzzle velocity of 100 -32x feet per second. The height h of the projectile is modeled by h(x) = 1002 +x where x is the horizontal distance of the projectile from the firing point. When the height of the projectile is 50 feet above the ground, how far has it traveled horizontally?arrow_forwardProve that, the range, R the time of flight, T and the Maximum height, H by a projectile are respectively given by; R = (5/g) sinze . T = (2vosine) a and H = V sin² e 29arrow_forward
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Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY