A top-fuel dragster starts from rest and has a constant acceleration of...

Question

A top-fuel dragster starts from rest and has a constant acceleration of 34.0 m/s². What are (a) the final velocity of the dragster at the end of 2.3 s, (b) the final velocity of the dragster at the end of twice this time, or 4.6 s, (c) the displacement of the dragster at the end of 2.3 s, and (d) the displacement of the dragster at the end of twice this time, or 4.6 s?

Answer 1

a = 34

v(t) = integral of a =34t + vo = 34t+0 = 34t = velocity after t seconds

v(2.3) = 34(2.3) = 78,2 meters per second = final velocity after 2.3 seconds

v(4.6) = 34(4.6) = 156.4 meters per second = final velocity after 4.6 seconds

s(t) =integral of v(t) = 17t^2 = distance after t seconds

s(2.3) = 17(2.3)^2 = 89,93 meters after 2.3 seconds

s(4.6) = 17(4.6)^2 = 359.72 meters after 4.6 seconds