vProblem: A possible model for a sprinter's velocity is given by Vx=a(1-e^(-bt))where t is in seconds, vx is in m/s, and the constants a and b are characteristic of the sprinter. Assume Sprinter A runs the 100-meter dash following this prescription with a = 11.81 m/s and b = 0.6887 s-1. a) Find an expression for Sprinter A’s acceleration as a function of time t. b) Find an expression for the distance traveled by Sprinter A as w.r.t. time t. c) Plot Sprinter A’s position, velocity and acceleration as a function of time. d) What was Sprinter A’s acceleration at t = 0s? e) What was Sprinter A’s acceleration at t = 2.30s? f) How long does it take Sprinter A to complete the race? g) What is Sprinter A’s final velocity? RACETIME: Another sprinter (let’s call them Sprinter X) is set to challenge Sprinter A’s time in 100-meter dash. Sprinter X’s motion is modeled using a constant acceleration of 2.5 m/s2 for the entire race. h) How far from the start are the racers when the eventual winner takes the lead? i) Who completes the dash in the shortest time? By how much shorter? j) Plot the positon versus time curve for both racers together on single plot. k) Which is the more realistic model for a sprinter’s velocity and why?
The time taken by the sprinter to finish the race can be only found by hit and trial as we cannot solve distance equation for t. We will have to guess the value of t and solve for S(t) and see if the distance is coming around 100 m .
vProblem: A possible model for a sprinter's velocity is given by Vx=a(1-e^(-bt))where t is in seconds,...
l Review What was Lewis's acceleration at t 4.20 s Careful measurements have been made of Olympic sprinters in the 100- Express your answer using four significant figures meter dash. A quite realistic model is that the sprinter's velocity is givern by a(1-e) where t is in s·L4 is 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 11.81m/s and b 0.6887s1 im...
Revieww Correct Careful measurements have been made of Olympic sprinters in the 100-meter dash. A quite realistic model is that the sprinter's velocity is given by ▼ Part B where t is in s, vx is 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 11.81m/s and b 0.6887s-1 What was Lewis's acceleration at t 2.10 s? Express your answer using four significant...
l Review Careful measurements have been made of Olympic sprinters in the 100- meter dash. A quite realistic model is that the sprinter's velocity is given by a(1-eR) where t is in s, vx is 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 -11.81m/s and b -0.6887s , Part D Find an expression for the distance traveled at time t Express your...
l Review What was Lewis's acceleration at t 4.20 s Careful measurements have been made of Olympic sprinters in the 100- Express your answer using four significant figures meter dash. A quite realistic model is that the sprinter's velocity is givern by a(1-e) where t is in s·L4 is 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 11.81m/s and b 0.6887s1 im...
Review Careful measurements have been made of Olympic sprinters in the 100-meter dash. A quite realistic model is that the sprinter's velocity is given by Ua(1-e- where t is in s, Ux is 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 - 11.81m/s and b- 0.68875 Part A What was Lewis's acceleration at t0s? Express your answer using four significant figures Submit...
A particle's velocity is given by the function vx (2.6 m/s)sin(Tt), where t is in s. Part A Part B What is the particle's acceleration at that time? Express your answer with the appropriate units. Im | a,- |-8.16 az-
For the above particle, if at t=0s, vx=-4 m/s, what is the velocity at t=20s? With the same condition as in previous problem, what is the average velocity in time interval 0 to 20 s? Yet still for the same setting, what is the average speed in time interval 0 to 20 s? The answer for the average speed is 9.5 m/s not 9.1 m/s like the average velocity is and I can't firgure out why that is. 2 (1...
4. Use the velocity versus time v(t) graph below to answer the following questions: Vx 20 m/s 10 m/s 10 s 20 s 30 s 10 m/s a. What is the displacement between 0-10 seconds? b. What is the displacement between 0-35 seconds? C. What is the acceleration at t = 10 seconds?
2.53 CALC The acceleration of a motorcycle is given by az(t) = At - Bt?, where A = 1.50 m/s and B = 0.120 m/s4. The motorcycle is at rest at the origin at time t = 0. (a) Find its position and velocity as functions of time (b) Calculate the maxi- mum velocity it attains.
A particle's displacement from equilibrium is given by x(t) = 0.32cos(3.4t + ?/4), where x is in meters and t is in seconds. (a) Find the frequency f and period T of its motion. f = Hz T = s (b) Find an expression for the velocity of the particle as a function of time. (Use the following as necessary: t.) vx = m/s (c) What is its maximum speed? |vx max| = m/s