Kinematics- Child running down a hill

Click For Summary
SUMMARY

The discussion focuses on solving a kinematics problem involving a child running down a hill at a 13-degree incline and then jumping at a 17-degree angle. The calculations provided include determining the vertical and horizontal distances using trigonometric functions, resulting in an initial speed of 10.1 m/s. However, the final answer is stated to be incorrect, indicating a need for reevaluation of the calculations or methodology used. The equations applied include the kinematic equation V^2 - Vo^2 = 2ad and trigonometric identities for sine and tangent.

PREREQUISITES
  • Understanding of basic kinematics principles
  • Proficiency in trigonometric functions (sine, cosine, tangent)
  • Familiarity with the kinematic equations of motion
  • Knowledge of projectile motion concepts
NEXT STEPS
  • Review the derivation and application of the kinematic equation V^2 - Vo^2 = 2ad
  • Study the effects of incline angles on projectile motion
  • Learn how to correctly apply trigonometric functions in physics problems
  • Explore common pitfalls in solving kinematics problems involving angles
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators looking for examples of problem-solving techniques in these areas.

panozg
Messages
1
Reaction score
0

Homework Statement



A child runs down a 13 hill and then suddenly jumps upward at a 17 angle above horizontal and lands 1.5 down the hill as measured along the hill. What was the child's initial speed?

Homework Equations



Unknown. Been trying to use trig to solve distances and as a result velocity.

The Attempt at a Solution



distance below starting point: y=1.5sin13=0.337 m
distance away (x): x=1.5cos13=1.46 m

as a result used 1.46 to figure out height above starting position with angle 17 degrees.

1.46tan17=0.446 m

V^2-Vo^2=2ad
0-Vo^2=2(-9.8)(.446)
Vo=2.9566 m/s

sin17=2.9566/V

V=10.1 m/s

THIS IS INCORRECT
 
Physics news on Phys.org

Similar threads

How to calculate the kinematics of an object pushed up an inclinex plane?
  • · Replies 7 ·
Replies
7
Views
2K
Projectile question — Cannonball fired over a hill
  • · Replies 5 ·
Replies
5
Views
2K
Help Me Hill Height for 35kg Child on 5kg Sled
  • · Replies 6 ·
Replies
6
Views
1K
Simple Work Problem Disagreeing with Kinematics
  • · Replies 4 ·
Replies
4
Views
2K
A cylinder of snow rolls down a hill gathering more snow -- calculate its speed
  • · Replies 39 ·
2
Replies
39
Views
4K
Finding the Formula for Speed and Distance on an Icy Hill
  • · Replies 11 ·
Replies
11
Views
3K
What velocity does a train need to go up and down the hill
  • · Replies 37 ·
2
Replies
37
Views
5K
How Far Will a Car Coast Up a Hill After Running Out of Gas?
  • · Replies 8 ·
Replies
8
Views
4K
What are the forces acting on a child pulling a wagon up an inclined hill?
  • · Replies 3 ·
Replies
3
Views
5K
Sphere Rolling Down Hill into Projectile Motion
  • · Replies 3 ·
Replies
3
Views
3K