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BIO Measure Your Reaction Time Here’s something you can try at home—an experiment to measure your reaction time. Have a friend hold a ruler by one end, letting the other end hang down vertically. At the lower end, hold your thumb and index finger on either side of the ruler, ready to grip it. Have your friend release the ruler without warning. Catch it as quickly as you can. If you catch the ruler 5.2 cm from the lower end, what is your reaction time?
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- Emily challenges her husband, David, to catch a 1 bill as follows. She holds the bill vertically as in Figure P2.67, with the center of the bill between David's index finger and thumb. David must catch the bill after Emily releases it without moving his hand downward. If his reaction time is 0.2 s, will he succeed? Explain your reasoning. (This challenge is a good trick you might want to try with your friends.) Figure P2.67arrow_forwardAn ice sled powered by a rocket engine sum from rest on a large frozen lake and accelerates at + 40 ft/s2. After some time t1, the rocket engine is shut down and the sled moves with constant velocity v for a time t2. If the total distance traveled by the sled is 17 500 ft and the total time is 90 s. find (a) the times t1 and t2 and (b) the velocity v. At the 17 500-ft mark, the sled begins to accelerate at 20 ft/s2. (c) What is the final position of the sled when it comes to rest? (d) How long does it take to come to rest?arrow_forward(5) In 1992, a 14 kg meteorite struck a car in Peekskill, NY, leaving a 20-cm-deep dent in the trunk. (a) If the meteorite was moving at 500 m/s before striking the car, what was the magnitude of its acceleration while stopping? Indicate any assumptions you made. (b) What other questions can you answer using the data in the problem?arrow_forward
- 1. An object is at x = -10 m moving at a constant velocity of 10 m/s. What would be the position of the body after 10 seconds? 2. Two siblings, Kaeya and Diluc, decided to take a walk around Mondstadt, following its perimeter guarded by walls. For those who haven't seen Mondstadt, you can imagine it as a city of walls with beautiful German architecture. Let's roughly assume that the walls are encircling it in a perfect circle. Both Kaeya and Diluc started at the front of the huge city gate (marked at 0 degrees), and they walk separately, away from each other. Assuming that radius of the circular city of Mondstadt to be 500 m, and the constant walking speed of both siblings to be 0.5 m/s, how long until the siblings achieve the greatest separation distance between them? 3. Please refer to the following vectors:A = 6i + 2j - 3kB = 3i - j - 2kC = -i + j - 4kD = j - 3kE = -i + 2kF = -5kG = 2iH = -3jI = -4i +4j Find the projection of vector C on vector D. 4. You throw a glob of putty…arrow_forwardRefer to Figure 2.4 a. Describe how the vertical velocity of the projectile vy varies over time? b. What does the projectile’s vy vs. t plot reveal about the projectile’s acceleration? c. Overall, what can you say about the goodness of fit for all the plots? Explain your answer. HINT: Goodness of fit defines the strength of the variables’ correlation.arrow_forward1. a 100kg astronaut (including the space suit) becomes untethered during a space walk and drifts to a distance of 10m from the mother ship. To get back to the ship, he throws his 2.5kg tool kit away with an acceleration of 8.0ms-1 that acts over 0.50s. a) How does throwing the tool kit away help the astronaut in the situation? b) How large is the fact that acts on the tool kit and the astronaut? c) With that speed will the astronaut drift to the mother ship? d) How long will it take for the astronaut to reach the ship?arrow_forward
- a) What is the accelaration of block A in the left, middle and right system b) What is the velocity of block A in the left, middle and right system after if has moved through 10ft; 15ft c) What is the time required for block A in the left, middle and right system to reach a velocity of 20 ft/sarrow_forwardA sprinter running a 100-meter race starts at rest, accelerates at constant acceleration with magnitude A for 2 seconds, and then runs at constant speed until the end. a) Find the position (relative to the start position) and speed of the runner at the end of the 2 seconds in terms of A. b) Assume that the runner takes a total of 10 seconds to run the 100 meters. Find the value of the acceleration A. You can leave your answer in terms of a fraction but clearly indicate the units.arrow_forward3.) You throw a ball straight up. The ball leaves your hand at a height of 2.00 m above the ground with a speed of 20.0 m/s (~45 mph). Ignore air resistance and use g = 10.0 m/s2 to answer the following questions. You can use a spreadsheet but show your sample calculations. 3a.) Calculate the height, y(t), and velocity, vy(t), at 0.50 second intervals until the ball hits the ground. Show your results in a table and put the units in the column headers: t (s), vy (m/s), y (m). 3b.) Use this data to draw a motion diagram for the ball at 0.50 second intervals. Label the height and the speed at each time interval. Label the origin, starting height, maximum height, and final height. Include the velocity vectors for each time and location of the ball. 3c.) Calculate the time it takes for the ball to hit the ground and the final velocity of the ball just as it hits the ground. Include this velocity vector in your diagram.arrow_forward
- 1c. A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 18.5 m/s. The cliff is h = 20.0 m above a flat, horizontal beach as shown in the figure. Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx= vy=arrow_forwardThe trap-jaw ant, found throughout tropical South America, catches its prey by very rapidly closing its mandibles around its victim. (Figure 1) shows the speed of one of its mandible jaws versus time in microseconds. What is the magnitude of the maximum acceleration of the ant's mandible? The mass of a trap-jaw ant's mandible has been estimated to be about 1.1×10−7kg1.1×10−7kg. Estimate the maximum force exerted by one mandible.arrow_forwardThe trap-jaw ant, found throughout tropical South America, catches its prey by very rapidly closing its mandibles around its victim. Shown is the speed of one of its mandible jaws versus time in microseconds. a. What is the maximum acceleration of the ant’s mandible? b. The mass of a trap-jaw ant’s mandible has been estimated to be about 1.3 x 10-7 kg. Estimate the maximum force exerted by one mandible.arrow_forward
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