Please Teach Me how to find time in acceleration case

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To determine the time it takes for each bicycle to complete a 200 m race, the relevant kinematic equation is s = v0t + 1/2at^2. Bicycle A starts with an initial velocity of 50 m/s and has an acceleration of 2 m/s², while Bicycle B starts from rest with an acceleration of 10 m/s². By applying the kinematic equation to both bicycles, the times t1 and t2 can be calculated. After finding these times, it can be determined which bicycle wins the race. Understanding and applying the kinematic equations is essential for solving this problem.
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Homework Statement



the case is if two bicycle want to make race for 200 m ,

Bicycle A
Vo1 ( Initial Velocity ) = 50m/s
a ( acceleration ) = 2 m/s2

Bicycle B
Vo1 ( Initial Velocity ) = 0 m/s
a ( acceleration ) = 10 m/s2

how I find the time and who will win the race ,

Please some body tech me :(
 
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shiga said:

Homework Statement



the case is if two bicycle want to make race for 200 m ,

Bicycle A
Vo1 ( Initial Velocity ) = 50m/s
a ( acceleration ) = 2 m/s2

Bicycle B
Vo1 ( Initial Velocity ) = 0 m/s
a ( acceleration ) = 10 m/s2

how I find the time and who will win the race ,

Please some body tech me :(

Welcome to the PF. The reason we ask you to post the "Relevant Equations" is to help you to understand what equations to look to in order to help you solve this type of problem. What do you think the relevant equations would be? If you're not sure, search at www.wikipedia.com for "kinematic equations", or just look in your textbook.
 
What is the kinematic equation which relates the disparagement, initial velocity, acceleration and time. Find t1 and t2 and then decide who wins the race?
 
rl.bhat said:
What is the kinematic equation which relates the disparagement, initial velocity, acceleration and time. Find t1 and t2 and then decide who wins the race?

may i konw the formula to find t1 and t2
 
Open any textbook and search of set of kinematic equations. And select the proper equation to solve the problem.
 
s=v0t+1/2*a*t^2
 
caitlincui said:
s=v0t+1/2*a*t^2
Correct. Now s is same for both. Find t1 and t2.
 
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