Physics, 22.11.2019 04:31 SithLeo

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.

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

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Answer from: aaron2113

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

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 kg, then gravitational force acting on the body is . 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.

$\frac{\Delta v}{\Delta t} =\frac{5-0}{0.5-0}=\frac{5}{0.5}=\frac{50}{5}=10\ m/s/s\\\frac{\Delta v}{\Delta t} =\frac{10-5}{1-0.5}=\frac{5}{0.5}=\frac{50}{5}=10\ m/s/s\\\frac{\Delta v}{\Delta t} =\frac{15-10}{1.5-1}=\frac{5}{0.5}=\frac{50}{5}=10\ m/s/s$

Therefore, the correct choice is choice D.

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Answer from: Quest

The answer would be a) -80of

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

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