Solving for Height and Distance: Janet's Displacement Speed Calculation

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SUMMARY

Janet's high-diving problem involves calculating the height of the platform and the horizontal distance she travels. With a horizontal velocity of 3.1 m/s and a time of 3.0 seconds in the air, the horizontal distance is calculated to be 9.3 meters using the formula D = horizontalV * t. To find the height, kinematic equations related to vertical motion must be applied, specifically considering gravitational acceleration.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of horizontal and vertical motion concepts
  • Familiarity with gravitational acceleration (9.81 m/s²)
  • Basic algebra for solving equations
NEXT STEPS
  • Study the kinematic equation for vertical motion: h = 0.5 * g * t²
  • Learn about projectile motion and its components
  • Explore the impact of initial velocity on trajectory
  • Review examples of similar physics problems involving displacement
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Students studying physics, educators teaching kinematics, and anyone interested in solving projectile motion problems.

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Homework Statement


Janet jumps off a high-diving platform with a horizontal velocity of 3.1 m/s and lands in the water 3.0 s later. How high is the platform, and how far from the base of the platform does she land?
m (height)
m (distance from platform)


Homework Equations



horizontalV*t=D

The Attempt at a Solution


I have got the distance from platform to be 9.3m using the forunla, but am unsure of the height like what formula to use
 
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