Dynamics Question on projectile motion

In summary, to determine the horizontal distance traveled by the stone before landing, first calculate the time it takes for the stone to fall from the top of the cliff using the standard SUVAT equations. Then, use this time and the given horizontal velocity to calculate the distance traveled horizontally. Neglecting air resistance, the horizontal velocity will remain constant.
  • #1
leonsilavant
1
0

Homework Statement



A stone of 0.5kg is thrown horizontally from an edge of a cliff at 6 m/s. If the cliff is 20m, what is the horizontal distance traveled by the stone before landing?

Homework Equations


I am guessing the equations are the standard SUVAT ones and possibly F=ma:

v^2 = u^2+2as
s = (ut) + 1/2(u[t^2])
v = u + at

The Attempt at a Solution



I have no solution so far because i have totally forgotten how to do it. Its for a engineering principles retake exam.

Please help!
 
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  • #2
Neglecting air resistance, the horizontal velocity of the rock will remain unchanged while the rock falls to the ground at the bottom of the cliff. What you must do first is calculate how long the rock takes to fall, as if it were dropped directly from the top of the cliff. Once you have the time to fall, you can calculate how far the rock travels horizontally using the velocity and duration of the fall.
 

FAQ: Dynamics Question on projectile motion

1. What is projectile motion?

Projectile motion is the motion of an object that is launched or thrown and moves through the air under the force of gravity. It follows a curved path known as a parabola.

2. What factors affect projectile motion?

The factors that affect projectile motion include the initial velocity of the object, the angle at which it is launched, the force of gravity, and air resistance.

3. How do you calculate the maximum height of a projectile?

The maximum height of a projectile can be calculated using the formula h = (v02sin2θ)/2g, where v0 is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

4. What is the range of a projectile?

The range of a projectile is the horizontal distance it travels before hitting the ground. It can be calculated using the formula R = (v02sin2θ)/g, where v0 is the initial velocity and θ is the launch angle.

5. How does air resistance affect projectile motion?

Air resistance, also known as drag, can affect projectile motion by slowing down the object and changing its trajectory. It is influenced by factors such as the shape and size of the object, air density, and the object's speed and direction.

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