Final answer:
Using the kinematic equation for uniformly accelerated motion, we find that the road runner travels 150 miles in the 10-second time interval when accelerating from rest at 3 mi/s².
Step-by-step explanation:
The student is asking about the distance traveled by the road runner which accelerates from rest over a 10-second time interval. To calculate the distance, we can use the kinematic equation for uniformly accelerated motion:
d = ut + (1/2)at²
where d is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time. Since the road runner starts from rest, the initial velocity u is 0. Plugging in the given values, we get:
d = 0 mi/s × 10 s + (1/2)×3 mi/s²×10² s²
d = 0 + (1/2)×3×10²
d = 1.5×10²
d = 150 mi
The road runner travels 150 miles during the 10-second time interval.