Answer:
All true statements are shown: a) <em>The average speed of the car is </em>, c)<em>The magnitude of the acceleration of the car is </em>.
Explanation:
Let prove the validity of each statement:
a) <em>The average speed of the car is </em>.
The average speed () is defined by the following formula:
(1)
Where:
, - Initial and final speeds of the racing car.
If we know that and , then the average speed of the racing car:
The statement is true.
b) <em>The car travels a distance </em>.
Since the racing car is accelerating uniformly, the distance travelled by the car is represented by the following kinematic formula:
(2)
Where is the acceleration of the racing car, measured in meters per square second.
The statement is false.
c) <em>The magnitude of the acceleration of the car is </em>.
Since the racing car is accelerating uniformly, the velocity of the racing car is represented by the following kinematic formula:
(3)
Then, we clear the acceleration of the expression:
If we know that and , then the acceleration of the car is:
The statement is true.
d) <em>The velocity of the car remains constant</em>.
Since the car accelerates uniformly, the vehicle does not travel at constant velocity.
The statement is false.