Motion in 2D Question: Solving for Time and Impact of a Thrown Stone

In summary, a student throws a stone horizontally from the edge of a cliff with a speed of 15.0 m/s. The cliff is 26.0 m above a flat horizontal beach. The question is how long it takes for the stone to strike the beach and with what speed and angle it lands. To solve this, kinematic equations and the law of Sines can be used, taking into consideration the height of the student and the distance from where the stone was released to where it lands.
  • #1
rjelalam
1
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Please Help! Motion in 2D Question

Homework Statement



A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 15.0 m/s. The cliff is h = 26.0 m above a flat horizontal beach, as shown in Figure P3.24.


Homework Equations


How long after being released does the stone strike the beach below the cliff?

With what speed and angle of impact does the stone land?
_________m/s
_________° below the horizontal




The Attempt at a Solution

 
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  • #2


rjelalam said:

The Attempt at a Solution


I tihnk you forgot that part :confused:

start with the kinematic equations.
 
  • #3


Well, that depends on the height of the student, unless of course, the 26.0 meters include the student's height with the cliff's. Try to find an equation that involves gravity:smile: as that is most definitely important. Also, find the distance from where the rock was released to the where it lands, then use the law of Sines to find your angle. I hope this is helpful, as this is one of my first posts! :smile:
 

FAQ: Motion in 2D Question: Solving for Time and Impact of a Thrown Stone

What is motion in 2D?

Motion in 2D refers to the movement of an object or particle in a two-dimensional space, such as on a flat surface. It involves both a horizontal and vertical component of movement.

What is the difference between speed and velocity in 2D motion?

Speed is a measure of how fast an object is moving, while velocity is a measure of both the object's speed and direction of motion. In 2D motion, velocity includes both the horizontal and vertical components of movement.

What is the equation for calculating displacement in 2D motion?

The equation for calculating displacement in 2D motion is d = √(Δx² + Δy²), where d is the total displacement and Δx and Δy are the horizontal and vertical components of displacement, respectively.

How does acceleration affect 2D motion?

Acceleration is the rate of change of an object's velocity over time. In 2D motion, acceleration can cause changes in both the speed and direction of an object's movement.

What are some real-life examples of 2D motion?

Some real-life examples of 2D motion include a car driving on a flat road, a ball thrown through the air, a satellite orbiting the Earth, and a person jumping on a trampoline.

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