A boy sledding down a hill accelerates at 1.40 m/s². If

he started from rest, in what distance would he reach

a speed of 7.00 m/s?

Answer: He would reach 7m/s at the distance of 17,5m.

Explanation: In order for us to know how long it takes for the speed to be reached, we use the equation V = Vo + at, with V=7m/s, Vo = 0m/s since you start from rest and a=1.4m/s². T is the time in seconds that we want to find out.

7 = 0 + 1.4t

7 = 1.4t

t = 5s

Now, we want to know the distance this boy reaches in 5 seconds, in a 7m/s speed and accelarating in 1.4m/s². For finding this out, we use another equation, S = So + Vot + (at²) / 2, S being the final distance, So = 0m because he started from rest, and the other variables used before.

S = 0 + 0*5 + [1.4 * (5²) ]/2

S = 0 + 0 + (1.4*25) / 2

S = 35/2

S = 17,5m