For the one dimensional motion of an object along an axis, choose all the statements that are True.
1.) If the object reverses direction and goes the opposite way, the sign of the velocity changes.
2.) If the acceleration has the opposite sign than the velocity (and is not zero) the object slows down.
3.) If the instantaneous velocity is zero, the acceleration is also zero.
4.) An object with larger acceleration always has a larger velocity.
5.) Negative acceleration means the moving object slows down
To determine which statements are true for one-dimensional motion along an axis, let's evaluate each statement separately:
1.) If the object reverses direction and goes the opposite way, the sign of the velocity changes.
This statement is true. When an object changes direction, its velocity changes sign. For example, if an object is initially moving in the positive direction with a positive velocity and then starts moving in the negative direction, its velocity becomes negative.
2.) If the acceleration has the opposite sign than the velocity (and is not zero), the object slows down.
This statement is true. If the acceleration has the opposite sign to the velocity (assuming it's not zero), it indicates that the object is experiencing a deceleration or a change in velocity. In other words, the object is slowing down.
3.) If the instantaneous velocity is zero, the acceleration is also zero.
This statement is not necessarily true. The instantaneous velocity being zero does not imply that the acceleration is zero. For example, if an object is thrown upwards and reaches its highest point where the instantaneous velocity is zero, the acceleration is still present due to the force of gravity pulling it downwards.
4.) An object with larger acceleration always has a larger velocity.
This statement is false. The acceleration and velocity of an object are independent of each other. An object can have a large acceleration and a small velocity or vice versa. Acceleration refers to the rate of change of velocity, so an object with a large acceleration could be experiencing a rapid change in velocity, but its overall velocity may not necessarily be large.
5.) Negative acceleration means the moving object slows down.
This statement is true. Negative acceleration, also known as deceleration or retardation, indicates that the moving object is slowing down. It means that the magnitude of the velocity is decreasing, but the object is still moving in the same direction.
In summary, the true statements are:
1.) If the object reverses direction and goes the opposite way, the sign of the velocity changes.
2.) If the acceleration has the opposite sign than the velocity (and is not zero), the object slows down.
5.) Negative acceleration means the moving object slows down.