A sprinter can accelerate with constant acceleration for 2.70 s before reaching top speed. He can run the 100-meter dash in 10 s. What is his speed as he crosses the finish line?

Question

Please show me all the steps to solving this problem.

Thanks

Answer 1

Ok, during the acceleration phase, his average velocity was Vf/2, during the rest of the race, the velocity is Vf.

distance= distance accelerating+ steady running distance
100 = Vf/2 * 2.70+ Vf*(10-2.70)
100= Vf(10-2.70/2)
solve for Vf