What Is the Speed at the Top of a Projectile's Trajectory?

Click For Summary
SUMMARY

A projectile fired straight upward at 135 m/s reaches a speed of 0 m/s at the top of its trajectory, confirming that vertical speed is zero at this point. When fired at a 35° angle, the vertical component of the initial velocity must be calculated using trigonometric functions. Additionally, the discussion includes a scenario involving an airplane with an airspeed of 95 km/h in a 105 km/h crosswind, requiring the calculation of its ground velocity using vector addition principles.

PREREQUISITES
  • Understanding of projectile motion and its components
  • Knowledge of trigonometric functions for angle calculations
  • Familiarity with vector addition in physics
  • Basic principles of kinematics
NEXT STEPS
  • Study the principles of projectile motion in physics
  • Learn how to resolve vectors into their components
  • Explore the use of trigonometric functions in calculating angles and velocities
  • Investigate the concept of ground velocity in relation to wind effects
USEFUL FOR

Students studying physics, educators teaching projectile motion, and anyone interested in understanding the dynamics of motion in varying conditions.

Mr530
Messages
7
Reaction score
0
A projectile is fired straight upward at 135 m/s. How fast is it moving at the instant it reaches the top of its trajectory?
My answer: 0 m/s

Suppose instead it were fired upward at 35°. What would be its speed at the top of its trajectory?
m/s




I do not know how to approach this. Does it want vertical speed or horizontal speed? How do I calculate this?

and...

Consider an airplane that normally has an air speed of 95 km/h in a 105 km/h crosswind blowing from west to east. Calculate its ground velocity when its nose is pointed north in the crosswind.
Magnitude
______ km/h
Direction
______° (counterclockwise from east)


I have been staring at this problem for the last hour, I do not know how to set this up. Any help would be much appreciated!
 
Physics news on Phys.org
It wants both horizontal and vertical. But because it said the top of the trajectory, one of these is zero. And you know which one based on your first answer. So find the other. It should be easy as it does not involve acceleration. But it might involve knowing something about right triangles.
 
so i would first need to find the time in the air. This can be determined by vertical motion, but would it be at the same 135m/s even though it is at a 60 degree angel, or would i need to use vectors/trig in order to find the velocity at 60 degrees?
 

Similar threads

  • · Replies 22 ·
Replies
22
Views
4K
Replies
40
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 29 ·
Replies
29
Views
4K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K