bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 2, Problem 82EAP

III Careful measurements have been made of Olympic sprinter in the 100 meter dash. A quite realistic model is that the sprinter's velocity is given by

v x = a 1 e b t

where t is in s, vxis in m/s, and the constants a and b are characteristic of the sprinter. Sprinter Carl Lewis's run at the 1987 World Championships is modeled with a = 11.81 m/s and b = 0.6887 s 1

  1. What was Lewis's acceleration at t = 0 s, 2.00 s, and 4.00 s?

  • Find an expression for the distance traveled at time t.
  • Your expression from part b is a transcendental equation, meaning that you can't solve it for t. However, it's not hard to use trial and error to find the time needed to travel a specific distance. To the nearest 0.01 s, find the time Lewis needed to sprint 100.0 m. His official time was 0.01 s more than your answer, showing that this model is very good, but not perfect.
  • Blurred answer
    Students have asked these similar questions
    The velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is measured in meters per second. Determine the total displacement of the particle and the total distance travelled by the particle in the first ten seconds of its travel. Give exact answers, and provide units on your final answer.
    The speed S (m/mii) of an object is defined by S = 6t² + 2t + 3 after t minutes. For the first one minute, the object travelled for 10 m. Determine how far the object travelled for the first two minutes. O 25 O 40 O 20 O 30
    Can someone please help me understand what I'm doing wrong on this one?

    Chapter 2 Solutions

    Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)

    Ch. 2 - (a) Give an example of a vertical motion with a...Ch. 2 - A ball is thrown straight up into the air. At each...Ch. 2 - A rock is thrown (not dropped) straight do from a...Ch. 2 - FIGURE Q2.14 shows the velocity-versus-time graph...Ch. 2 - Alan leaves Los Angeles at 8:00 A.M. to drive to...Ch. 2 - Julie drives 100 mi to Grandmother’s house. On the...Ch. 2 - Larry leaves home at 9:05 and runs at constant...Ch. 2 - FIGURE EX2.4 is the position-versus-time graph of...Ch. 2 - FIGURE EX2.5 shows the position graph of a...Ch. 2 - A particle starts from x0=10matt=0s and moves with...Ch. 2 - FIGURE EX2.7 is a somewhat idealized graph of the...Ch. 2 - FIGURE EX2.8 shows the velocity graph for a...Ch. 2 - FIGURE EX2.9 shows the velocity graph of a...Ch. 2 - FIGURE EX2.7 showed the velocity graph of blood in...Ch. 2 - Prob. 11EAPCh. 2 - FIGURE EX2.1 2 shows the velocity-versus-time...Ch. 2 - a. What constant acceleration, in SI units, must a...Ch. 2 - A jet plane is cruising at 300 m/s when suddenly...Ch. 2 - a. How many days will it take a spaceship to...Ch. 2 - Prob. 16EAPCh. 2 - A speed skater moving to the left across...Ch. 2 - A Porsche challenges a Honda to a 400 m race....Ch. 2 - Acar starts from rest at a stop sign. It...Ch. 2 - Prob. 20EAPCh. 2 - A student standing on the ground throws a ball...Ch. 2 - A rock is tossed straight up from ground level...Ch. 2 - 23. When jumping, a flea accelerates at an...Ch. 2 - Prob. 24EAPCh. 2 - A rock is dropped from the top of a tall building....Ch. 2 - A skier is gliding along at 3.0 m/s on horizontal,...Ch. 2 - A car traveling at 30 m/s runs out of gas while...Ch. 2 - Prob. 28EAPCh. 2 - A snowboarder glides down a 50-m-long, 15° hill....Ch. 2 - A small child gives a plastic frog a big push at...Ch. 2 - FIGURE EX2.31 shows the acceleration-versus-time...Ch. 2 - Prob. 32EAPCh. 2 - A particle moving along the x-axis has its...Ch. 2 - A particle moving along the x-axis has its...Ch. 2 - The position of a particle is given by the...Ch. 2 - The position of a particle is given by the...Ch. 2 - Particles A. B. and C move along the x-axis....Ch. 2 - A block is suspended from a spring, pulled down,...Ch. 2 - A particle’s velocity is described by the function...Ch. 2 - Prob. 40EAPCh. 2 - Prob. 41EAPCh. 2 - A particles velocity is given by the function vx=...Ch. 2 - A ball rolls along the smooth track shown in...Ch. 2 - Draw position, velocity, and acceleration graphs...Ch. 2 - FIGURE P2.45 shows a set of kinematic graphs for a...Ch. 2 - FIGURE P2.46 shows a set of kinematic graphs for a...Ch. 2 - The takeoff speed for an Airbus A320 jetliner is...Ch. 2 - You are driving to the grocery store at 20 m/s....Ch. 2 - You’re driving down the highway late one night at...Ch. 2 - Two cars are driving at the same constant speed on...Ch. 2 - You are playing miniature golf at the golf course...Ch. 2 - The minimum stopping distance for a car traveling...Ch. 2 - A cheetah spots a Thomson’s gazelle, its preferred...Ch. 2 - You are at a train station, standing next to the...Ch. 2 - A 200 kg weather rocket is loaded with 100 kg of...Ch. 2 - A 1000 kg weather rocket is launched straight up....Ch. 2 - A lead ball is dropped into a lake from a diving...Ch. 2 - A hotel elevator ascends 200 m with a maximum...Ch. 2 - A basketball player can jump to a height of 55 cm....Ch. 2 - You are 9.0 m from the door of your bus, behind...Ch. 2 - Ann and Carol are driving their cars along the...Ch. 2 - Amir starts riding his bike up a 200-m-long slope...Ch. 2 - A very slippery block of ice slides down a smooth...Ch. 2 - Bob is driving the getaway car after the big bank...Ch. 2 - One game at the amusement park has you push a puck...Ch. 2 - A motorist is driving at 20 m/s when she sees that...Ch. 2 - Nicole throws a ball straight up. Chad watches the...Ch. 2 - David is driving a steady 30 m/s when he passes...Ch. 2 - A cat is sleeping on the floor in the middle of a...Ch. 2 - Water drops fall from the edge of a roof at a...Ch. 2 - I was driving along at 20 m/s, trying to change a...Ch. 2 - As an astronaut visiting Planet X, you’re assigned...Ch. 2 - Your goal in laboratory is to launch a ball of...Ch. 2 - When a 1984 Alfa Romeo Spider sports car...Ch. 2 - The two masses in FIGURE P2.75 slide on...Ch. 2 - In Problems 76 through 79, you are given the...Ch. 2 - In Problems 76 through 79, you are given the...Ch. 2 - In Problems 76 through 79, you are given the...Ch. 2 - In Problems 76 through 79, you are given the...Ch. 2 - A rocket is launched straight up with constant...Ch. 2 - Careful measurements have been made of Olympic...Ch. 2 - III Careful measurements have been made of Olympic...Ch. 2 - A sprinter can accelerate with constant...Ch. 2 - A rubber ball is shot straight up from the ground...Ch. 2 - The Starship Enterprise returns from warp drive to...
    Knowledge Booster
    Background pattern image
    Physics
    Learn more about
    Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
    Similar questions
    SEE MORE QUESTIONS
    Recommended textbooks for you
    Text book image
    Physics for Scientists and Engineers: Foundations...
    Physics
    ISBN:9781133939146
    Author:Katz, Debora M.
    Publisher:Cengage Learning
    Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY