Trajectory of a projectile from a cliff

Click For Summary
SUMMARY

The projectile motion problem involves a projectile launched from a 115 m high cliff with an initial speed of 65.0 m/s at a 35.0-degree angle. The time taken to hit the ground is calculated as 9.96 seconds, and the horizontal distance from the base of the cliff to the impact point is determined to be 531 meters. The discussion highlights the need to calculate the horizontal and vertical components of velocity just before impact, as well as the angle of the velocity vector with the horizontal. Additionally, the maximum height above the cliff reached by the projectile is to be found.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of kinematic equations for horizontal and vertical motion
  • Familiarity with trigonometric functions for angle calculations
  • Basic concepts of gravity and its effects on motion
NEXT STEPS
  • Calculate the horizontal and vertical components of velocity using vector decomposition
  • Determine the angle of the velocity vector with respect to the horizontal using inverse tangent functions
  • Explore the concept of maximum height in projectile motion and its calculation
  • Review kinematic equations to reinforce understanding of motion under gravity
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators looking for examples of real-world applications of kinematic equations.

Kris1120
Messages
42
Reaction score
0

Homework Statement


A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of 65.0 m/s at an angle of 35.0 degrees with the horizontal.
A. Determine the time taken by the projectile to hit point P at ground level.
B. Determine the distance X of point P from the base of the vertical cliff.
C.At the instant just before the projectile hits point P, determine the horizontal and the vertical components of its velocity.
D. At the instant just before the projectile hits point P, determine the angle made by the velocity vector with the horizontal.
E. Find the maximum height above the cliff top reached by the projectile.



Homework Equations




?

The Attempt at a Solution



I got t= 9.96 s for A which was right and I got delta x= 531 m for B which was right. I am stuck at C. I can't even find an equation to use in my book or in my notes. Someone please point me in the right direction!
 
Physics news on Phys.org


which direction does gravity act? is there any forces assumed in this example that would cause a horizontal acceleration?
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
Replies
40
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K