Final answer:
The car will take 10 seconds to reach 50 m/s.
Step-by-step explanation:
To find how long it will take for the car to reach 50 m/s, we need to determine the acceleration of the car.
Given that the car starts from rest and reaches 25 m/s after 5 seconds, we can use the formula:
Acceleration (a) = (Final Velocity (v) - Initial Velocity (u)) / Time (t)
Substituting the values, we get:
a = (25 - 0) / 5 = 5 m/s²
Now, we can use the formula:
Final Velocity (v) = Initial Velocity (u) + (Acceleration (a) * Time (t))
Substituting the values, we get:
50 = 0 + (5 * t)
t = 10 seconds
Therefore, it will take 10 seconds for the car to reach 50 m/s.