Kinematics- Child running down a hill

AI Thread Summary
A child runs down a 13-degree hill and jumps upward at a 17-degree angle, landing 1.5 meters down the slope. The calculations involve using trigonometric functions to determine the vertical and horizontal distances traveled. The initial speed was calculated using the kinematic equation, but the result was found to be incorrect. The correct approach requires careful application of physics principles and accurate trigonometric calculations. The discussion emphasizes the importance of verifying calculations in kinematics problems.
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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
 
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