Projectile Motion Homework Problem: Finding Time for a Ball Dropped from 4m

In summary, the conversation is discussing a physics problem where a ball is dropped from a height of 4m with a weight of 0.5kg. The acceleration due to gravity is -10, and the task is to find the time it takes for the ball to hit the ground. The person is seeking guidance on how to approach the problem and is directed to look at the four equations of motion, with one specifically using the ball's mass, which is given in the problem. The conversation concludes by reminding the person that the question asks for time, not velocity.
  • #1
AnomalyCoder
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Homework Statement


You drop a ball (0.5kg) from a height of 4m.
How long did the ball take to hit the ground?

Acceleration = -10 due to gravity.

Homework Equations


[tex]\Delta[/tex]x = Area Under a Velocity-Time graph.
^ In this case, it will be .5*Velocity*Time.

The Attempt at a Solution


Acceleration = -10 due to gravity.
After that, I have no idea. I mean, how does one figure out what anything is?
All that is given is the ball weight and the height. How do you find the velocity without the time?

I just need some guidance, anyone know of a good resource that explains this topic?
Once I find the Velocity, finding time would be no problem whatsoever.
 
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  • #2
When a physics problem says "drop", it is understood that it means the initial velocity is zero.

You can look on this as a code, but it should also make sense that "throw" would be the word used if Vi[tex]\neq[/tex]0.
 
  • #3
Are you familiar with the basic 4 equations of motion? There's heaps of info all over the web, or even just check out http://en.wikipedia.org/wiki/Equations_of_motion" .

There is one that concerns itself with distance (height), acceleration and time.

Sometimes the questions will give you redundant data to confuse you. Look at the 4 equations and see which ones use an objects mass (measured in kg).

All that is given is the ball weight and the height. How do you find the velocity without the time?

Keep in mind that the statement asks for time, not velocity.
 
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FAQ: Projectile Motion Homework Problem: Finding Time for a Ball Dropped from 4m

What is projectile motion?

Projectile motion is the motion of an object that is launched into the air at an angle and follows a curved path due to the influence of gravity. Examples of projectile motion include throwing a ball, shooting a cannonball, or launching a rocket.

What are the key factors that affect projectile motion?

The key factors that affect projectile motion are the initial velocity, launch angle, air resistance, and gravity. The initial velocity determines how fast the object is moving, the launch angle determines the direction of the motion, air resistance affects the speed of the object, and gravity causes the object to accelerate towards the ground.

How is the trajectory of a projectile calculated?

The trajectory of a projectile can be calculated using the equations of motion, which take into account the initial velocity, launch angle, time, and acceleration due to gravity. These equations can be solved to determine the position and velocity of the object at any given time during its flight.

What is the difference between horizontal and vertical motion in projectile motion?

Horizontal motion in projectile motion is the motion in the x-direction, which is unaffected by gravity and remains constant. Vertical motion is the motion in the y-direction, which is affected by gravity and changes over time. The combination of these two motions creates the curved path of a projectile.

How do you calculate the maximum height and range of a projectile?

The maximum height of a projectile can be calculated using the equation h = (v02sin2θ)/2g, where h is the maximum height, v0 is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity. The range of a projectile can be calculated using the equation R = (v02sin2θ)/g, where R is the range or horizontal distance traveled by the projectile.

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