Physics College

A sprinter begins from rest and accelerates at the rate of 2 m/s^2 for 200 m.
a. What is the sprinters velocity at the end of the 200 m?
b. How long does it take him to cover it?
c. What is his average velocity?

Answers

Answer 1

Answer:

a. 28.28

B.14.4

C.14.4

Explanation:

A. v^2=u^ + 2as

v^2=0^2 + 2*2*200

B. v=u+at

t=v-u/a

C. V+u/2

Answer 2

The sprinter velocity at the end of the 200 m would be 28.28 m/s.

What are the three equations of motion?

There are three equations of motion given by  Newton

The first equation is given as follows

v = u + at

the second equation is given as follows

S = ut + 1/2×a×t²

the third equation is given as follows

v² - u² = 2×a×s

As given in the problem a sprinter begins from rest and accelerates at the rate of 2 m/s^2 for 200 m.

By using the third equation of the motion,

v² - u² = 2×a×s

v² - 0² = 2×2×200

v² = 800

v =28.28 m/s

The sprinter velocity at the end of the 200 m would be 28.28 m/s

By using the second equation of motion

S = ut + 1/2*a*t²

u= 0 m/s , a=  m/s² s = 200 m

200  = 0 + 0.5*2*t²

t² = 200

t = √200

t = 14.14 seconds

It would take him 14.14 seconds to cover.

average velocity = initial velocity + final velocity /2

                            = 0+ 28.28/2   m/s

                             = 14.14 m/s

Thus, The sprinter velocity at the end of the 200 m would be 28.28 m/s.

Learn more about equations of motion from here

brainly.com/question/5955789

#SPJ2

Related Questions

Other Questions
A game show contestant earns y dollars for completing a puzzle in x minutes. This situation is represented by the equationy = -250x + 5000. How long did a contestant who earned $500 take to complete the puzzle?Justify your answer Which natural feature is called "the Apennines?the body of water to the east of the peninsulathe body of water to the west of the peninsulathe mountain range in the center of the peninsulathe mountain range in the north of the peninsula Item 8A student collected data about the distance a ball falls over time.Which type of graph should she use to show the data?bar graphscatterplotcircle graphhistogram Read the first sentences in Dortheas personal narrative.1. Jamie and Jeremy are my next door neighbors. 2. They are brother and sister. 3. Everyday, myself walks to school with them.What problem needs to be fixed in Dortheas narrative?Dorthea should identify herself as a character in her narrative.The pronoun they should be replaced with the pronoun we.In sentence 3, Dorthea should identify herself with a different pronoun.The word Everyday should be removed from the beginning of sentence 3 Between 1915 and 1945, the United States went through World War I, the booming 1920, the Great Depression of the 1930, and World War II. Although this time period was traumatic for many Americans, it also transformed the US identity. Think of the 1920 in contrast with the Great Depression of the 1930. Which of these two time periods do you think has had a bigger impact on the development of US society, either from a political or cultural viewpoint? Explain why. Is a television remote ac or dc This position within the House of Representatives is generally held by one of the senior members of the majority party and is responsible for making sure rules of debate and voting are followed. In early 18th Century, all colonies were..Question 3 options:south of the Appalachian mountainseast of the Appalachian mountainsnorth of the Appalachian mountainswest of the Appalachian mountains Which fraction is the divisor, 2/3 / 1/6? The table represents a linear equation.A two column table with 5 rows. The first column, x, has the entries, negative 10, negative 5, 10, 15. The second column, y, has the entries, 8, 7. 4, 3.Which equation shows how (10, 8) can be used to write the equation of this line in point-slope form?y 8 = 0.15(x 10)y + 8 = 0.15(x 10)y 8 = 0.2(x + 10)y + 8 = 0.2(x 10) What are the three components of health?physical, social, and mental/emotionalpersonal, professional, and environmentalphysical, emotional, and environmentalmental, emotional, and physical 4(2x-9)+2 simplified Rx1=r is what kind of property suppose you recieve $10 from your grandmother for your birthday.you spend $4 on snacks. using addition , how would you model the equation on the numberline word problemYour long distance telephone provider offers two plans. Plan A has a monthly fee of $15 and $0.25 per minute. Plan B has a monthly fee of $20 and $0.05 per minute. Write and solve an equation to find the number of minutes that you must talk to have the same cost for each of the plans. the average tiger can run 52 ft per second? How fast is this in miles per hour? please help me! :((( Write a description about a person who has made a strong impression on you.Please, please, please help, it can be about anything, it doesn't really matter. I give Brainliest too, just help me please. Thea does not remember in what order she added the ingredients but the last thing she added was 6- 1/4tsp. (6-quarter teaspoons). Select the only option(s) from the checklist below that could have been the last ingredient. * Cinnamon Baking Soda Pure Vanilla Extract Salt Cream of Tartar What led to the growth of Labor unions in the Gilded Age?