Kinematics problem with constant acceleration

Click For Summary
SUMMARY

The discussion centers on a kinematics problem involving a ball thrown downwards from a height of 20 meters with an initial velocity of 15 m/s. The correct equation to model the height of the ball over time is h(t) = -4.9t² - 15t + 20, where -4.9 represents half of the acceleration due to gravity in meters per second squared. This equation accurately reflects the effects of constant acceleration on the ball's motion.

PREREQUISITES
  • Understanding of kinematic equations
  • Knowledge of constant acceleration concepts
  • Familiarity with quadratic functions
  • Basic physics principles related to projectile motion
NEXT STEPS
  • Study the derivation of kinematic equations for constant acceleration
  • Explore the application of quadratic functions in physics problems
  • Learn about the effects of gravity on projectile motion
  • Investigate real-world examples of kinematics in sports or engineering
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding projectile motion and its mathematical modeling.

livestrong136
Messages
25
Reaction score
0
A ball is thrown downwards from a top of a 20m building with an initial velocity of 15m/s. What equation could be used to model its height?

My answer: h (t) = -4.9t2-15t+20
 
Physics news on Phys.org
livestrong136 said:
My answer: h (t) = -4.9t2-15t+20
Looks good to me.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
Replies
18
Views
2K
Replies
11
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
2
Views
4K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K