Kinematics of a Falling Object: Calculating Velocity

In summary, the dart's velocity after 1.3 seconds is 23.15 m/s, assuming the downward y-axis is chosen as positive. It is important to be consistent in choosing the direction of variables to ensure accurate calculations.
  • #1
deaninator
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Homework Statement


Sarah shoots a toy dart vertically downward at 10.4 m/s at Mark standing on the ground below. Calculate the dart's velocity after 1.3 seconds.

Homework Equations


V=Vo + at
X=1/2(Vo -V)T
X=VoT + 1/2at2
V2=Vo2 + 2ax

(If a 2 is after a letter then it means squared)
X=displacement
A=Acceleration
T=Tome
Vo=Initial Velocity
V=Velocity

The Attempt at a Solution


Vf = (10.4 m/s) + (-9.81 m/s^2)(1.3 sec) = 23.15 m/s

That answer is wrong.

Thanks.
 
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  • #2
If you choose the downward y-axis as positive, then every variable acting in that direction...velocity, acceleration, and displacement... should also be positive.

If you choose the downward y-axis as negative, then every variable acting in that direction...velocity, acceleration, and displacement... should also be negative.

Just be consistent.
 

Related to Kinematics of a Falling Object: Calculating Velocity

1. What is downwards speed?

Downwards speed, also known as vertical speed, is the rate at which an object is moving downwards in relation to a reference point.

2. How is downwards speed calculated?

The downwards speed of an object can be calculated using the formula v = gt, where v is the downwards speed, g is the acceleration due to gravity (9.8 m/s^2), and t is the time in seconds.

3. Is downwards speed the same as velocity?

No, downwards speed and velocity are not the same. Velocity is a vector quantity that includes both the speed and direction of motion, while downwards speed only measures the rate of motion in a specific direction (downwards).

4. Can downwards speed change?

Yes, downwards speed can change due to the effects of acceleration and deceleration. For example, an object that is falling will have an increasing downwards speed due to the acceleration of gravity, while an object that is slowing down will have a decreasing downwards speed.

5. What are some real-life examples of downwards speed?

Some real-life examples of downwards speed include objects falling from a height, water flowing down a waterfall, and a person jumping off a diving board into a pool.

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