Finding velocity using given angle

Click For Summary
SUMMARY

The discussion focuses on calculating the time it takes for a projectile, launched at 50 m/sec at a 53-degree angle, to reach a velocity that makes a 33.7-degree angle with the horizontal. The solution involves breaking down the motion into x and y components, utilizing the equations of motion. The final calculated time is approximately 2.03 seconds, confirmed by multiple participants using gravitational acceleration of 9.8 m/s².

PREREQUISITES
  • Understanding of projectile motion and its components
  • Familiarity with kinematic equations
  • Basic knowledge of trigonometry, specifically sine and cosine functions
  • Ability to apply gravitational acceleration in calculations
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn how to resolve vectors into components
  • Explore advanced kinematics problems involving angles
  • Investigate the effects of air resistance on projectile motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators looking for practical examples to illustrate these concepts.

dahano
Messages
10
Reaction score
0

Homework Statement

:
A body is projected with 50m/sec at an angle of 53 degree with the horizontal. After what time velocity makes an angle 33.7 degree with horizontal. (tan 33.7 = 2/3)[/B]

Homework Equations

: Mostly from 2-Dimension and maybe calculus.[/B]

The Attempt at a Solution

: I've first picked up the second part of the question and tried to find out the height at 33.7 degree angle by using h = uSinθt - 1/2gt but in this, I can't decide that what u should I put because 50m/sec is at the ground level. Moreover, I also don't know the time, t. And thus this method can not be used. What could be the other way? Please guide me in layman's term.[/B]
 
Physics news on Phys.org
Take into consideration that the motion consists of both x and y components (x=vcosθ and y=vsinθ). Perhaps you could try calculating what the initial speed and final speeds are for the y component. Then try calculating how much time it would take for that change in speed using your other kinematics formulas.
 
Adrian Jimenez said:
Take into consideration that the motion consists of both x and y components (x=vcosθ and y=vsinθ). Perhaps you could try calculating what the initial speed and final speeds are for the y component. Then try calculating how much time it would take for that change in speed using your other kinematics formulas.
Yep, that worked! I've got 2 seconds as the answer and hopefully it must be correct. Thanks :-)
 
dahano said:
Yep, that worked! I've got 2 seconds as the answer and hopefully it must be correct. Thanks :-)
I confirm 2 sec. (More precisely, 2.03, using 9.8 for g.)
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
Replies
5
Views
2K
  • · Replies 14 ·
Replies
14
Views
6K
  • · Replies 15 ·
Replies
15
Views
1K
Replies
2
Views
2K
Replies
31
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
27K
Replies
3
Views
2K
Replies
11
Views
3K