Answer:
1) "the acceleration of an object increases by force applied to it" is correct, as long as the force is increasing, acceleration will increase.
2) "acceleration of an object increases by force applied to it" is correct, but only if one assumes the force is increasing (directly proportional).
Step-by-step explanation:
Newton's second law states that force is the product of mass times acceleration: F=ma
1. "acceleration of an object increases by force applied to it" is correct: As force is increased (and mass stays the same), the acceleration must also increase.
2. "acceleration . . . decreases based on its mass" is confusing, since it does not say in what direction the mass is changing. As the mass increases, the acceleration will decrease, assuming constant force. If the mass decreases, the accelaration will increase.The statment should read "inversely proportional."