An athlete starting from rest picks up a velocity of 10 m/s over a distance of 100 m. Calculate the accleration generated by the athlete and the time in which he completes the race ?

Asked by nisha_vini29 | 6th Jul, 2017, 11:37: AM

Expert Answer:

begin mathsize 12px style Given space that space the space body space starts space from space rest comma space straight i. straight e. space straight u space equals 0 space straight m divided by straight s space and space straight v space equals space 10 space straight m divided by straight s
Distance space covered space equals space 100 space straight m
bold left parenthesis bold i bold right parenthesis space Acceleration space generated space by space the space athelete space is space calculated space using space the space formula space straight v squared space minus space straight u squared space equals space 2 as
On space substituting space the space values space and space on space solving comma space we space get
straight a space equals space 0.5 space straight m divided by straight s squared

bold left parenthesis bold ii bold right parenthesis space To space calculate space the space time space taken space by space the space athelete space to space complete space the space race space we space use space the space equation colon
space straight v space plus space straight u space equals space at
On space substituting space the space values space and space on space solving comma space we space get
straight t space equals space 20 space straight s end style

Answered by Yashvanti Jain | 6th Jul, 2017, 06:12: PM