Final answer:
The centripetal acceleration of a car moving in uniform circular motion can be found using the equation: ac = (v^2) / r. The car's centripetal acceleration at the end of its journey is 50 m/s^2. The total acceleration of the car is also 50 m/s^2.
Step-by-step explanation:
The centripetal acceleration of a car moving in uniform circular motion can be found using the equation:
ac = (v^2) / r
where ac is the centripetal acceleration, v is the velocity of the car, and r is the radius of the circular path.
From the given information, the car has a radius of 4.5 m and travels a distance of 150 m in 10 seconds. To find the centripetal acceleration, we need to find the velocity first:
velocity = distance / time = 150 m / 10 s = 15 m/s
Now we can plug in the values into the centripetal acceleration equation:
ac = (15 m/s)^2 / 4.5 m = 50 m/s^2
Therefore, the centripetal acceleration of the car at the end of its journey is 50 m/s^2.
The total acceleration of the car at the end of its journey is the vector sum of the centripetal acceleration and any tangential acceleration. Since the car is in uniform acceleration motion, there is no tangential acceleration. Therefore, the total acceleration is equal to the centripetal acceleration, which is 50 m/s^2.