How Can You Verify and Complete Parametric Equations for Projectile Motion?

Click For Summary
To verify the parametric equations for projectile motion, the initial vertical velocity (V0) was calculated as 14.268 m/s using the equation h(t) = -4.9t^2 + V0t + h0. The vertical position equation was derived as y(t) = -4.9t^2 + 14.268t + 1.6. For the horizontal position x(t), the discussion highlights the need to consider the constant horizontal velocity, which is determined by the horizontal distance and time in air. The horizontal velocity component can be calculated as Vx = horizontal distance / time in air, leading to x(t) = Vx * t. The thread emphasizes the importance of verifying these calculations for accuracy.
DomoArigato12
Messages
1
Reaction score
0

Homework Statement


Given:H0-1.6, time in air - 3.02 s, horizontal distance thrown - 10m
Solve:V0 and write parametric equations for x(t) and y(t) - the horizontal and vertical positions of the ball

Homework Equations


h(t)=-4.9t^2+V0t+h0


The Attempt at a Solution


for V0 I got 14.268
when trying to write y(t) I got y(t)=-4.9t^2+14.268t+1.6

I need help verifying that what I got is correct, if any additional information is needed write. I also need help writing x(t), the horizontal position of the ball equation
 
Physics news on Phys.org
How did you get 14.268 for V0?

For writing x(t), what is true about the velocity component in the x direction?
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

How to parametrize motion of a pendulum in terms of Cartesian coordinates?
  • · Replies 1 ·
Replies
1
Views
1K
Finding a Parametric Solution for Particle Trajectory in Magnetic Field
  • · Replies 3 ·
Replies
3
Views
2K
Calculating x Position of a Moving Object
  • · Replies 10 ·
Replies
10
Views
2K
Which Regions Can This Cannon Reach with Its Projectile?
  • · Replies 4 ·
Replies
4
Views
1K
Ball launched from a height of 5 meters --- Projectile motion
  • · Replies 12 ·
Replies
12
Views
1K
Find the height of a lamp based on the velocities of projectiles
  • · Replies 40 ·
2
Replies
40
Views
2K
How Does Projectile Angle Affect Asymptotic Behavior in Physics Graphs?
  • · Replies 23 ·
Replies
23
Views
3K
Parametric Equations of Keplerian Orbit
  • · Replies 7 ·
Replies
7
Views
4K
Where on the hill does the projectile land?
  • · Replies 9 ·
Replies
9
Views
3K
Projectile Motion Problem Involving Initial Velocity and Gravity Only
  • · Replies 11 ·
Replies
11
Views
1K