Question 2 math problem

Question

1. Determine the acceleration of a dragster, using this formula, , that travels 500m from rest in 15 sec. Note: is the distance travelled by the object, is initial velocity, is acceleration, and is the elapsed time.

Answer 1

500 m in 15 sec

d(t) = (a/2)t^2

d(15) =(a/2)15^2=500

a/2 =500/225 = 20/9

acceleration = 40/9 = about 4.4 m/sec^2

v(t) = at

v(15) = (40/9)15 = 600/9 =200/3 = about 67 m/sec

=67(3600)/hr = 241 km/hr = about 0 to 150 miles per hour in 15 seconds

a(t) = 40/9