Easy kinematic problem I've suffered an hour for

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The problem involves a metal ball launched at a 30-degree angle from a height of 1 meter with an initial speed of 7.66 m/s, requiring the calculation of horizontal distance traveled. To solve this, one must apply kinematic equations for both vertical and horizontal motion, using the vertical component of the initial speed (7.66 * sin30) and accounting for gravitational acceleration (9.8 m/s²). The vertical motion equation will yield a quadratic equation to find the time of flight, from which the horizontal displacement can be calculated using the horizontal speed (7.66 * cos30) multiplied by the time. Participants are encouraged to break down the problem into its components and sketch it for better understanding. Engaging with textbooks or resources on projectile motion is recommended for further clarity.
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Homework Statement



Metal ball is launch at 30 degrees from initial height of 1m with initial speed as 7.66m/s, find horizontal distance traveled

Homework Equations





The Attempt at a Solution



Honestly I have no idea.
 
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Go through any textbook or hyper Physics site and collect the information about the projectile motion. If you have any doubts, please feel free to ask us. Before that you have to show your attempt.
 
you have to use the kinematics equation s= u*t - 0.5gt^2 in vertical and horizontal directions. u is the initial velocity and s is the distance travelled. g is the gravi . acc = 9.8 ms-2 , when it reaches floor level it has traveled -1m from the place of launch. use above equation for vertical direction with s= -1m , and u=7.66* sin30 , you have to resolve for the vertical component of launch speed, now when you plug in this data in above equation you will get a quadratic equation in t you can find two roots to this equation , one root will be (-) so you can take the positive root, this is the time it takes to get to the floor level, now think of the horizontal displacement there is no acceleration in that directin so the resolved horizontal speed ( 7.66*cos 30) will remain unchanged so the horizontal dispacement = horizontal speed * time it takes to getto the floor !
good luck
 
rl.bhat said:
Go through any textbook or hyper Physics site and collect the information about the projectile motion. If you have any doubts, please feel free to ask us. Before that you have to show your attempt.
check my previous posts, I am not a leech
 
What's your previous attempts though?

Did you try breaking it down into the x- and y-components?

Even a sit down with a sketch to familiarise yourself with the problem helps.

:smile:
 
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