Projectile Motion trajectory Problem

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SUMMARY

The discussion revolves around solving a projectile motion problem on Planet Exidor, where a physics student analyzes the trajectory of a ball thrown at an initial velocity of (2.0i + 2.0j) m/s. The key calculations involve determining the ball's velocity at t=0, t=2, and t=3 seconds, as well as calculating the gravitational acceleration (g) on Exidor and the launch angle of the projectile. The student successfully deduces that the vertical component of velocity is zero at the peak (t=2s), which allows for the calculation of g and subsequent velocities.

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8. A Physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in Figure 6.8 (whille it will not be recreated on this forum, the figure shows a part of a parabolic curve which starts at the origin and peaks at t=2. It also shows the velocity vector at t=1, which will be entered later in the pst). The ball's position is shown at 1 s intervals until t=3s. At t=1 s, the ball's velocity is (2.0i + 2.0j)m/s, where i and j are unit vectors.

a. determine the ball's velocity at t=0,2,and 3 s.
b. what is the value of g on planet Exidor?
c. what was the ball's launch angle.

I know how to do parts b and c, but can't do either without a. I'm not sure what formula to use, but I do know the following:

at t=1:
v1=(2.0i + 2.0j)m/s
v1x=2.0im/s
v1y=2.0jm/s

ax=0
ay=-g m/s^2

v1x=v0x=v2x=v3x2.0im/s
x0=0m
y0=0m

Thank you in advance.
 
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Treat the vertical and horizontal components separately. Hints: What's the vertical component of velocity at the highest point? (t = 2) What about the horizontal component?
 
Figured it out. since the velocity in the y direction is 0m/s at t=2s, I was able to calculate the gravity. I then used this to find the velocities at the other times. I don't know if using part b to solve part a is correct, but I can check my instructor's webpage to see if it gets the correct answer.
 

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