Question

Based on the data table, what evidence best suggests that this might be an object in freefall?

A) The velocity of the object is increasing.
B) The acceleration of the object is increasing.
C) The change in displacement is increasing at a constant rate.
D) The acceleration for each interval is a constant of 10 m/s/s.

Answer 1

D. The acceleration for each interval is a constant of 10 m/s/s.

Step-by-step explanation:

This is the best evidence of freefall.

Time (sec) Displacement (m) Velocity (m/s)

0 0 0

0.5 1.25 5

1 5 10

1.5 11.25 15

Answer 2

D) The acceleration for each interval is a constant of 10 m/s/s.

Step-by-step explanation:

In free fall, the object is under the influence of gravitational force only. The gravitational force acting on the body is equal to the weight of the body.

If the mass of object is
`m` kg, then gravitational force acting on the body is
`mg`. Now, the acceleration acting on the body is due to gravity and is equal to
`g\approx 10\ m/s/s`.

Also, acceleration is nothing but rate of change of velocity.

Therefore, when a body is under free fall, the rate of change of velocity is always a constant and is approximately equal to 10 m/s/s.

Here, from the given table, the velocity is changing at a constant rate of 10 m/s/s and is shown below.

`(\Delta v)/(\Delta t) =(5-0)/(0.5-0)=(5)/(0.5)=(50)/(5)=10\ m/s/s\\(\Delta v)/(\Delta t) =(10-5)/(1-0.5)=(5)/(0.5)=(50)/(5)=10\ m/s/s\\(\Delta v)/(\Delta t) =(15-10)/(1.5-1)=(5)/(0.5)=(50)/(5)=10\ m/s/s`

Therefore, the correct choice is choice D.