Final answer:
The car travels 124 meters in 4 seconds of acceleration, calculated using the equation of motion s = ut + ½ at², where s is distance, u is initial velocity, a is acceleration, and t is time.
Step-by-step explanation:
To calculate the distance a car travels while accelerating, we need to use the equation of motion that relates distance, initial velocity, acceleration, and time:
s = ut + ½at²
Where:
- s is the distance traveled
- u is the initial velocity (25 m/s in this case)
- a is the acceleration (3 m/s²)
- t is the time for which the acceleration is applied (4 seconds)
Plugging in the numbers:
s = (25 m/s)(4 s) + ½(3 m/s²)(4 s)²
s = 100 m + ½(3 m/s²)(16 s²)
s = 100 m + (1.5 m/s²)(16 s²)
s = 100 m + 24 m
s = 124 m
So, the car travels 124 meters in the 4 seconds of acceleration.