line along a road. It’s distance x from a stop sign is given as a function of time t by the equation‚ where and. Calculate the velocity of the car for each of the time given: (a) t = 2.00s; (b) t = 4.00s; (c) What will be the time when the acceleration is equal to zero? Solution: By getting the derivative of the distance as a function of time we can get the velocity as a function of time. Substitute the values of α and β a) Given t = 2.00s b)
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Sample Problems for Speed: 1. Calculate the speed of a dog running through a field if he is covering 23.7 meters in 54 seconds. 2. If a cross country runner covers a distance of 347 meters in 134 seconds‚ what is her speed? 3. What is the speed of a baseball that travels 49 meters in 2.4 seconds? 4. What is the speed of the horse that runs a distance of 250 meters in 3.5 seconds? 5. The girl runs 136 meters in 30 seconds. What is her total speed?
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Projectiles (Source for the first five problems WWW.MIAMI-BEST-MATH-TUTOR.COM‚ 1. 1. A physics book slides off a horizontal table top with a speed of 1.10 m/s. It strikes the floor in 0.350 s. Ignore air resistance. Find the height of the table top above the floor; the horizontal distance from the edge of the table to the point where the book strikes the floor; the horizontal and vertical components of the book’s velocity‚ and the magnitude and direction of its velocity‚ just before the book reaches the
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"Age" Word Problems (page 1 of 2) In January of the year 2000‚ I was one more than eleven times as old as my son William. In January of 2009‚ I was seven more than three times as old as him. How old was my son in January of 2000? Obviously‚ in "real life" you’d have walked up to my kid and and asked him how old he was‚ and he’d have proudly held up three grubby fingers‚ but that won’t help you on your homework. Here’s how you’d figure out his age for class: First‚ name things and translate the
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Dependent Variable: Velocity of wave (wave velocity) Constants: Plastic storage container Piece of wood Height from which the wood is dropped and the way it is held before each time it is dropped Gravel-like substance that creates an uneven bottom—this includes both its physical material and the amount of it that is placed on the bottom of the tank during each treatment Time at which the stopwatch is started after the wooden block is dropped and a wave is created Problem: It is a known fact
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just need to find the time. We find the time‚ by applying the average velocity formula to both parts of the journey‚ and solving for time. Δt1 = Δx1/ Vavg ‚ 1 = 30/60 = 0.5 hours Δt2 = Δx2/ Vavg ‚ 2 = 30/30 = 1.0 hours Vavg = Δx/Δt = (30 + 30) / (0.5 + 1.0) Vavg = 40 mi/hr Questions 2 – 4 relate to two particles that start at x = 0 at t = 0 and move in one dimension independently of one another. Graphs‚ of the velocity of each particle versus time are shown below Particle A Particle B
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Phys2A: Practice problems for the 1st midterm test Fall 2013 0.674 to the proper number of significant figures? 0.74 1. What is Answer: 0.91 2. A 8.7 hour trip is made at an average speed of 73.0 km/h. If the first third of the trip (chronologically) was driven at 96.5 km/h‚ what was the average speed for the rest of the journey? Answer: 61 km/h 3. A car travels 95 km to the north at 70.0 km/h‚ then turns around and travels 21.9 km at 80.0 km/h. What is the difference
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Physics 110 Spring 2006 2-D Motion Problems: Projectile Motion – Their Solutions 1. A place-kicker must kick a football from a point 36 m (about 40 yards) from the goal‚ and half the crowd hopes the ball will clear the crossbar‚ which is 3.1m high. When kicked the all leaves the ground with a speed of 20 m/s at an angle of 530 to the horizontal. 1. Does the ball clear or fall short of the crossbar? 2. Does the ball approach the crossbar while still rising or while falling? (a) From our equations
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if it takes a curved path. 7 (a) Length of the path = 0.8 × 120 = 96 m (b) No matter which path the ball takes‚ its displacement remains the same. (b) Length of AB along the dotted line 96 = 30.6 m = (c) Magnitude of Jack’s average velocity 30.6 × 2 = = 0.51 m s–1 120 Practice 1.3 (p. 23) 1 B Total time 5000 5000 = + = 9821 s 1.4 0.8 5000 + 5000 = 1.02 m
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Abstract— The calculation of dispersion curves and‚ therefore‚ the rheological properties is possible by analyzing how the different phase velocity modes behave in the medium of interest. Shear wave propagation in “thin” organs is affected by the mechanical properties of the tissues surrounding those organs. In order to obtain the proper mechanical properties of such boundary sensitive organs‚ an analytical solution for the dispersion curves on a plate surrounded by semi-infinite solids was derived
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