Calculating Vo in Projectile Motion: 800m Distance with 70° Angle in 4 Seconds

Click For Summary
SUMMARY

The discussion focuses on calculating the initial velocity (Vo) of a projectile launched at a 70° angle, covering a horizontal distance of 800 meters in 4 seconds. The key equations used include x = Vo * cos(70°) * t and T = 2Vo * sin(70°) / g. The reliable method to determine Vo is through the equation Vo = x / (t * cos(70°)), as gravitational acceleration (g) may vary depending on the location. This approach ensures accurate results without reliance on potentially variable gravitational constants.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions, specifically sine and cosine
  • Knowledge of basic kinematic equations
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn about the effects of varying gravitational acceleration on projectile trajectories
  • Explore advanced projectile motion problems involving air resistance
  • Investigate the use of simulation tools for visualizing projectile motion
USEFUL FOR

Students in physics, educators teaching projectile motion concepts, and anyone interested in understanding the calculations behind projectile trajectories.

DrkCould
Messages
1
Reaction score
0

Homework Statement


An object was lauch at uknow velocity at an angle of 70 degree in the X direction. After 4 second later it land. The distance was 800 meter. Find the Vo of the object. What Vo is compose of?


Homework Equations


t= 4 sec
distance travel= 800
angle= 70


The Attempt at a Solution


x= Vocos(u)T and T= 2VoSin/g
X/(cos(u)*t)= Vo

the twon Vo did not match is there any other way to find the solution
 
Physics news on Phys.org
DrkCould said:

Homework Statement


An object was lauch at uknow velocity at an angle of 70 degree in the X direction. After 4 second later it land. The distance was 800 meter. Find the Vo of the object. What Vo is compose of?


Homework Equations


t= 4 sec
distance travel= 800
angle= 70


The Attempt at a Solution


x= Vocos(u)T and T= 2VoSin/g
X/(cos(u)*t)= Vo

the twon Vo did not match is there any other way to find the solution

With the information given the x/(t*Coos70) = Vo is the only one to be trusted, because the g of the top equation may not be on earth.
 

Similar threads

Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
Replies
5
Views
2K
Replies
4
Views
2K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
2
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K