Final answer:
The car has traveled 250 meters at 10 seconds.
Step-by-step explanation:
The car starts from rest and accelerates at a rate of 5 m/s² for 10 seconds. To find the distance traveled at 10 seconds, we can use the equation:
d = v0t + (1/2)at2
Where:
d = distance traveled
v0 = initial velocity (rest, so 0 m/s)
t = time (10 seconds)
a = acceleration (5 m/s²)
Plugging in the values, we get:
d = 0(10) + (1/2)(5)(10)2
d = 0 + (1/2)(5)(100)
d = 0 + (1/2)(500)
d = 0 + 250
d = 250 meters
Therefore, the car has traveled 250 meters at 10 seconds.