Final answer:
The average acceleration of a dragster that accelerates uniformly from rest to 90 m/s over a distance of 400 m is 10.125 m/s².
Step-by-step explanation:
To calculate the average acceleration of a dragster that accelerates uniformly from rest to a speed of 90 m/s over a distance of 400 m, we can use the kinematic equation for motion without time:
v2 = u2 + 2as
Where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled. Since the dragster starts from rest, u = 0, and we can solve for a as follows:
902 = 0 + 2 · a · 400
8100 = 800a
a = 8100 / 800 = 10.125 m/s2
The average acceleration of the dragster over the 400 m distance is 10.125 m/s2.