What Are the Key Variables in Projectile Motion on Planet Exidor?

AI Thread Summary
The discussion focuses on analyzing projectile motion on Planet Exidor, specifically determining the ball's velocity at various time intervals, the gravitational acceleration (g), and the launch angle. The student initially misinterprets the acceleration in the x-direction and struggles with finding the velocity at t=0 seconds. Participants emphasize the importance of considering both horizontal and vertical components of motion and correcting the approach to focus on gravitational effects. They suggest using equations for velocity and acceleration to set up simultaneous equations for solving the problem. Overall, the conversation highlights the need for clarity in understanding projectile motion principles.
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Homework Statement



A physics student on PLanet Exidor throws a ball, and it follows hte parabolic trajectgory shown in the figure. The ball's position is shown at 1.00 intervals until t=3.00. At t=1.00, the ball's velocity is v=(2.00i + 2.00j)[m/s].

physicsa.jpg


a. Determine the ball's velocity at t=0, 2.00, and 3.00.
b. What is the value of g on the Planet Exidor?
c. What was the ball's launch angle?

Homework Equations



<br /> v = v_0 + a t<br /> &lt;br /&gt; &lt;br /&gt; &amp;lt;br /&amp;gt; x = x_0 + v_0 t + (1/2) a t^2&amp;lt;br /&amp;gt; &amp;amp;lt;br /&amp;amp;gt; &amp;amp;amp;lt;br /&amp;amp;amp;gt; v^2 = v_0^2 + 2 a \Delta x&amp;amp;amp;lt;br /&amp;amp;amp;gt; &amp;amp;amp;amp;lt;br /&amp;amp;amp;amp;gt; &amp;amp;amp;amp;lt;br /&amp;amp;amp;amp;gt; &amp;amp;amp;amp;lt;br /&amp;amp;amp;amp;gt; &amp;amp;amp;amp;lt;br /&amp;amp;amp;amp;gt; &amp;amp;amp;amp;lt;h2&amp;amp;amp;amp;gt;The Attempt at a Solution&amp;amp;amp;amp;lt;/h2&amp;amp;amp;amp;gt;&amp;amp;amp;amp;lt;br /&amp;amp;amp;amp;gt; &amp;amp;amp;amp;lt;br /&amp;amp;amp;amp;gt; I was able to find at 1.00&amp;amp;amp;amp;lt;s&amp;amp;amp;amp;gt; that the ball&amp;amp;amp;amp;amp;#039;s acceleration in the x direction = 2.00[m/s^2]. I&amp;amp;amp;amp;amp;#039;m not really sure how to find the velocity at t=0 &amp;amp;amp;amp;lt;s&amp;amp;amp;amp;gt; since I think it can&amp;amp;amp;amp;amp;#039;t be zero. I&amp;amp;amp;amp;amp;#039;m pretty if I can figure out the max height I can figure out what g is. But I can&amp;amp;amp;amp;amp;#039;t find max height. &amp;amp;amp;amp;lt;br /&amp;amp;amp;amp;gt; &amp;amp;amp;amp;lt;br /&amp;amp;amp;amp;gt; Thanks.&amp;amp;amp;amp;lt;br /&amp;amp;amp;amp;gt; &amp;amp;amp;amp;lt;/s&amp;amp;amp;amp;gt;&amp;amp;amp;amp;lt;/s&amp;amp;amp;amp;gt;
 
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With all projectile motion problems you need to consider both components of motion. There should be no acceleration in the x direction. At the top of the parabola what do you expect the y component of velocity to be? This will help you with what you know about t = 1 to set up some simultaneous equations and solve the problem.
 
Kurdt said:
There should be no acceleration in the x direction.

It will really help to rewrite

<br /> v = v_0 + at = v_0 - gt<br />

where I've defined g downwards as positive as two equations then...

<br /> v_x = ... \quad \&amp; \quad v_y = v_y(t)=...<br />
 
Thanks for the help. It was stupid of me to think of ax instead of just thinking g the whole time. This clarified things a bunch, thanks!
 

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