Made a small mistake and can't figure out what to do->Projectile motion

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SUMMARY

The discussion centers on calculating the projectile motion of a ball launched at an angle of 62 degrees with an initial velocity of 22 m/s. The user correctly identifies the components of the initial velocity, with vertical velocity (vy0) calculated as 19 m/s and horizontal velocity (vx0) as 10 m/s. The mistake lies in the time calculation; the correct approach is to first determine the time to reach maximum height using the formula t = vy0/gravity, and then multiply that time by 2 to find the total time of flight.

PREREQUISITES
  • Understanding of basic physics concepts related to projectile motion
  • Familiarity with trigonometric functions for angle calculations
  • Knowledge of kinematic equations for motion
  • Basic understanding of gravitational acceleration (approximately 9.81 m/s²)
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn how to calculate time of flight for different launch angles
  • Explore the effects of air resistance on projectile motion
  • Practice solving problems involving multiple projectile launches
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Students studying physics, educators teaching projectile motion, and anyone interested in mastering kinematic equations and their applications in real-world scenarios.

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[SOLVED] Made a small mistake and can't figure out what to do-->Projectile motion

Homework Statement


Ball is launched at 62 degrees above horizontal at 22 m/s. What distance does the ball travel?


Homework Equations



x=x0+vx0t


The Attempt at a Solution



x0=0
vy0=22 m/s
y0=0
theta=62
vy0=22sin62=19 m/s
vx0=22cos62=10 m/s

but I messed up on my time calculation
t=vy0/gravity.
that's not right. what's the correct time calculation?
 
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t=vy0/gravity.
that's not right. what's the correct time calculation?

this time is to reach the maximum height. Total time is twice this time.
 
ok, so i just need to multiply that value by 2? thank you.
 

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