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- A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69m m 2 Traveling with an initial speed of 128 kr, a Cessna 172 accelerates at 6000kr during level flight. How long will it take to reach a speed of 226kr ? Give your answer in seconds (s).You determine the average speed for your walking pace. If the measured distance of your trip is 100.0 +/- 0.5 [m]. The measured time of your trip is is 60.0 +/- 0.3 [s). The result is v ± dv Find dv . Answer to 3 decimal place. Note: v = distance/time.
- Light speed c = 3.0* 108 m/s. A light year is a distance light travels in one year. Calculate a light-year in [a] km and [b] MileA particle traveling in a straight line starts from rest it has an acceleration of a=B^2/3t ^2+c^2 t, if B=10m^3/2 / s^3 and c=-2m^1/2 / s^3/2 find the velocity and total distance traveled at t=4secA student solving a physics problem for the velocity of an object has applied appropriate physics principles and obtained the expression v=d/t−v0, where d=35.0meter, t=9.00second, and v0 =3.00meter/second. What is the velocity v?
- A car has a speed of 30 m/s and the acceleration 4m/s^2 at the time t=8sec what is the speed of the car.A boat takes 3.50 hours to travel 10.0 km down a river, then 5.40 hours to return. How fast is the river flowing?A light-vear is the distance that light travels in one year. The speed of light is 3.00 x 108 m/s. How many miles are there in one light-year? (1 mi = 1609 m, 1 y =365 d) 5.88 x 1015 mi O 9.46 x 1012 mi 5.88 x 1012 mi O 9,46 x 1015 mi
- A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at time t is h(t) : 30t – 4.9t2 m. Compute the stone's average velocity ū in m/s over the time intervals [2, 2.01], [2,2.001], [2,2.0001] and [1.9999, 2], [1.999, 2], [1.99, 2]. (Use decimal notation. Give your answers to three decimal places.) Ū12,2.01] = m/s Ü12,2.001] = m/s U12,2.0001] = m/sThe acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/sHow much time t (in seconds) does it take light to travel from the Moon to the Earth, a distance D = 384,000 km? Assume the speed of light is c = 3.00x108 m/s.
