Question

what is acceleration? *
velocity
displacement
change in velocity
change in position

what is the acceleration due to gravity on earth? *
-9.8 m/s^2
9.8 m/s^2
3.4 m/s^2
-3.4 m/s^2

a baseball is first dropped from a height of 2 meters. then, the same baseball is dropped from a height of 4 meters. in which scenario will the baseball hit the ground at a faster velocity?
your answer

Explanation:

• First question: Acceleration is defined as the change in velocity over time. Velocity is a measure of how fast an object is moving in a particular direction. Displacement is the change in position of an object. So, acceleration is related to the change in velocity.
• Second question: The acceleration due to gravity on Earth is approximately \(9.8\ m/s^{2}\) when we take the downward direction as positive. The negative sign (\(- 9.8\ m/s^{2}\)) would be used if the upward direction is considered positive. Values like \(3.4\ m/s^{2}\) and \(-3.4\ m/s^{2}\) are not the standard acceleration due to gravity on Earth.
• Third question: Using the kinematic equation \(v^{2}=u^{2}+2gh\) (where \(u = 0\) for a dropped object, \(g\) is the acceleration due to gravity, and \(h\) is the height). Since \(v=\sqrt{2gh}\), when \(h\) is larger (in the case of \(h = 4\ m\) compared to \(h=2\ m\)), the final velocity \(v\) will be larger.

Answer:

• First question: change in velocity
• Second question: \(9.8\ m/s^{2}\)
• Third question: When the baseball is dropped from a height of \(4\) meters.