Calculation of Horizontal Velocity, Initial Vertical Speed

In summary, we need to calculate horizontal velocity, initial vertical speed, angular launch speed, launch angle, and maximum height for an object with a mass of 7.3g that is projected 24.5m. We can use the equations of motion, v=u+at, s=s0+ut+(1/2)at^2, and v^2=u^2+2as, and take into account that there is no air resistance. Another formula that may come in handy is 2a∆y=V²-Vo², where Vo represents initial velocity.
  • #1
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Homework Statement


Calculate any or all of the following: horizontal velocity, initial vertical speed, angular launch speed, launch angle, and maximum height all for an object with a mass of 7.3g that is projected 24.5m.


Homework Equations





The Attempt at a Solution


V=d/t V=24.5/7.3 V=15.031
 
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  • #2
Remember the basic equations of motion for particles like this

[tex]
v = u + a t
[/tex]

[tex]
s = s_0 + u t + (1/2) a t^2
[/tex]

[tex]
v^2 = u^2 + 2 a s
[/tex]

where v is the final velocity, u is the initial velocity, s is the displacement, a the acceleration and t the time.

Also remember that you are going to be assuming no air resistance, so horizontal velocity will remain constant.

Applying these formulae to verticle and horizontal components of the initial velocity should get you all of those

=]
 
  • #3
another formula that may come in handy is...
2a∆y=V²-Vo²

where Vo=initial velocity.
since it includes horrizontal motion, be sure to use the right components when pluging in the variables, expecially for velocity. good luck
 
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FAQ: Calculation of Horizontal Velocity, Initial Vertical Speed

What is horizontal velocity?

Horizontal velocity is the rate at which an object is moving horizontally, or parallel to the ground. It is typically measured in meters per second (m/s).

How do you calculate horizontal velocity?

Horizontal velocity can be calculated by dividing the horizontal distance traveled by the time it took to travel that distance. The formula for horizontal velocity is horizontal velocity = horizontal distance / time.

What is initial vertical speed?

Initial vertical speed is the rate at which an object is moving vertically, or perpendicular to the ground, at the beginning of its motion. It is typically measured in meters per second (m/s).

How do you calculate initial vertical speed?

Initial vertical speed can be calculated using the formula initial vertical speed = final vertical speed - acceleration * time. The final vertical speed and acceleration can be determined from other calculations or measurements.

What factors can affect the calculation of horizontal velocity and initial vertical speed?

The calculation of horizontal velocity and initial vertical speed can be affected by factors such as air resistance, friction, and external forces acting on the object. These factors can change the object's speed and direction, making the calculation more complex.

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