Physics
7th Edition
ISBN: 9780321929013
Author: Douglas C. Giancoli
Publisher: PEARSON
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(II) A person in the passenger basket of a hot-air balloon
throws a ball horizontally outward from the basket with
speed 10.0 m/s (Fig. 3–44). What initial velocity (magni-
tude and direction) does the ball have relative to a person
standing on the ground (a) if the hot-air balloon is rising
at 3.0 m/s relative to the ground during this throw, (b) if
the hot-air balloon is descending at 3.0 m/s relative to the
ground?
10.0 m/s
FIGURE 3-44
Problem 43.
(II) Figure 3–33 shows two vectors, A and B, whose magni-
tudes are A = 6.8 units and B = 5.5 units. Determine Č
if (a) Č = Ã + B, (b) Č = Ā – B,
(c) Č = B – Ā. Give the
magnitude and direction
for each.
-
y
В
FIGURE 3–33
Problem 7.
A rock is kicked horizontally at 15 m/s from a hill with a
45° slope (Fig. 3–58). How long does it take for the rock to
hit the ground?
15 m/s
45°
FIGURE 3-58 Problem 72.
Chapter 3 Solutions
Physics
Ch. 3 - A small heavy box of emergency supplies is dropped...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 - Give several examples of an object's motion in...Ch. 3 - Can the displacement vector for a particle moving...Ch. 3 - During baseball practice, a player hits a very...Ch. 3 - If V =V 1+V 2 , is V necessarily greater than V1,...Ch. 3 - Two vectors have length V1=3.5km and V2=4.0km ....Ch. 3 - Can two vectors, of unequal magnitude, add up to...Ch. 3 - Can the magnitude of a vector ever (a) equal, or...
Ch. 3 - Prob. 10QCh. 3 - How could you determine the speed a slingshot...Ch. 3 - Prob. 12QCh. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - A projectile is launched at an upward angle of 300...Ch. 3 - Prob. 16QCh. 3 - Two cannonballs, A and B, are fired from the...Ch. 3 - 18. A person sitting in an enclosed train car,...Ch. 3 - Prob. 19QCh. 3 - Prob. 20QCh. 3 - Prob. 21QCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - A baseball player hits a ball that soars high into...Ch. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Which of the three kicks in Fig. 3-32 is in the...Ch. 3 - A baseball is hit high and far. Which of the...Ch. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - A car travels 10 m/s east. Another car travels 10...Ch. 3 - A car is driven 225 km west and then 98 km...Ch. 3 - A delivery truck travels 21 blocks north, 16...Ch. 3 - If Vx=9.80 units and Vy=6.40 units, determine the...Ch. 3 - Graphically determine the resultant of the...Ch. 3 - V is a vector 24.8 units in magnitude and points...Ch. 3 - Vector V is 6.6 using long and points along the...Ch. 3 - Figure 3-33 shows two vectors, A and B , whose...Ch. 3 - Prob. 8PCh. 3 - Three vectors are shown in Fig. 3-35 Q. Their...Ch. 3 - (a) given the vectors A and B shown in Fig. 3-35,...Ch. 3 - Determine the vector AC , given the vectors A and...Ch. 3 - For the vectors shown in Fig. 3—35, determine (a)...Ch. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - 17. (l) A tiger leaps horizontally from a...Ch. 3 - 18. (l) A diver running 2.5 m/s dives out...Ch. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - 21. (Il) A ball thrown horizontally at 12.2 m/s...Ch. 3 - (Il) A football is kicked at ground level with a...Ch. 3 - Prob. 23PCh. 3 - You buy a plastic dart gun,and being a clever...Ch. 3 - Prob. 25PCh. 3 - Extreme-sports enthusiasts have been known to jump...Ch. 3 - A projectile is fired with an initial speed of...Ch. 3 - An athlete performing a long jump leaves the...Ch. 3 - A shot-putter throws the "shot" (mass = 7.3 kg)...Ch. 3 - Prob. 30PCh. 3 - A rescue plane wants to drop supplies to isolated...Ch. 3 - Suppose the rescue plane of Problem 31 releases...Ch. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Suppose the kick in Example 3—6 is attempted 36.0...Ch. 3 - Revisit Example 3—7, and assume that the boy with...Ch. 3 - A stunt driver wants to make his car jump over 8...Ch. 3 - Prob. 38PCh. 3 - Huck Finn walks at a speed of 0.70 m/s across his...Ch. 3 - Determine the speed of the boat with respect to...Ch. 3 - Two planes approach each other head-on. Each has a...Ch. 3 - A passenger on a boat moving at 1.70 m/s on a...Ch. 3 - A person in the passenger basket of a hot-air...Ch. 3 - 44. (Il) An airplane is heading due south at a...Ch. 3 - In what direction should the pilot aim the plane...Ch. 3 - 46. (Il) A swimmer is capable of swimming 0.60 m/s...Ch. 3 - (a) At what upstream angle must the swimmer in...Ch. 3 - 48. (Il) A boat, whose speed in still water is...Ch. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Two cars approach a street comer at right angles...Ch. 3 - Prob. 52GPCh. 3 - Prob. 53GPCh. 3 - A light plane is headed due south with a speed...Ch. 3 - Prob. 55GPCh. 3 - Prob. 56GPCh. 3 - 57. Apollo astronauts took a "nine iron" to the...Ch. 3 - 58. (a) A long jumper leaves the ground at above...Ch. 3 - Prob. 59GPCh. 3 - Prob. 60GPCh. 3 - Prob. 61GPCh. 3 - Prob. 62GPCh. 3 - Prob. 63GPCh. 3 - Prob. 64GPCh. 3 - When Babe Ruth hit a homer over the 8.0-m-high...Ch. 3 - At serve, a tennis player aims to hit the ball...Ch. 3 - Prob. 67GPCh. 3 - Prob. 68GPCh. 3 - 69. A boat can travel 2.20 m/s in still water. (a)...Ch. 3 - Prob. 70GPCh. 3 - Prob. 71GPCh. 3 - A rock is kicked horizontally at 15 m/s from a...Ch. 3 - Prob. 73GPCh. 3 - A ball is shot from the top of a building with an...Ch. 3 - If a baseball pitch leaves the pitcher's hand...
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- (II) Determine the speed of the boat with respect to theshore in Example 3–10.arrow_forwardA projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of 65.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3–51. (a) Deter- mine the time taken by the projectile to hit point P at ground level. (b) Determine the distance X of point P from the base of the vertical cliff. At the instant just before the projectile hits point P, find (c) the horizontal and the vertical components of its velocity, (d) the magnitude of the velocity, and (e) the angle made by the velocity vector with the horizontal. (f) Find the maximum height above the cliff top reached by the projectile. vo = 65.0 m/s 35.0° h = 115 m X- FIGURE 3-51 Problem 59.arrow_forwardy 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.arrow_forward
- In archery, should the arrow be aimed directly at the target?How should your angle of aim depend on the distance tothe target?arrow_forward3) ON LEVEL GROUND, A GOLF BALL IS STRUCK AT 45 m/s OF 21° ABOVE HORIZONTAL. AT AN ANGLE (A) How LONG IS THE BALL IN THE AIR ? (B) Hownls THE BALL AT ITS HIGHEST POINT? HIGH (C) How FAR DOES IT GO ?arrow_forwardAt what angle should a water-gun be aimed in order for the water to land with the greatest horizontal range? (A) 0° B 30º 45" (D) 60ºarrow_forward
- (II) An airplane is traveling 835 km/h in a direction 41.5° west of north (Fig. 3–34). (a) Find the components of the velocity vector the northerly and westerly direc- (835 km/h) tions. (b) How far N in 41.5° north and how far W E west has the plane traveled after 1.75 h? FIGURE 3-34 Problem 8. Sarrow_forwardFor a projectile projected horizontaly The projectile does not change its velocity along both vertical and horizontal directions. The projectile changes its velocity along both vertical and horizontal directions The projectile changes its velocity along the vertical direction but its velocity along the horizontal direction stays O constant. The projectile changes its velocity along the horizontal direction but its velocity along the vertical direction stays O constant.arrow_forwardIf you stand motionless under an umbrella in a rainstormwhere the drops fall vertically, you remain relatively dry.However, if you start running, the rain begins to hit yourlegs even if they remain under the umbrella. Why?arrow_forward
- Check Your Understanding For vector in a rectangular coordinate system, use Equation 2.29 through Equation 2.32 to show that and .arrow_forwarda). (i) When two missiles are projected from the same point with samevelocity but in different directions, find the horizontal distance D, covered in each case, if t and t' are respectively the times of flight.(ii) Prove that the range, R, is 4√(hh'), if h and h' are the greatest heights in the two paths of the missile with a given velocity.arrow_forwardCheck Your Understanding If the average velocity vector of the drone In the displacement in Example 2.7 is u = (15.0 i +31.7 +2.5 km/s, what is the magnitude of the drone's velocity j vector?arrow_forward
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