A ball is thrown in the air @ 30m/s

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SUMMARY

A ball thrown straight up with an initial speed of 30 m/s will take 3 seconds to reach the top of its trajectory and will achieve a maximum height of 45 meters, assuming negligible air resistance. The calculations utilize the equation of motion under constant acceleration due to gravity, approximated as 10 m/s² for simplicity. The time to reach the peak is derived from the formula \( t = v_0/g \), where \( v_0 \) is the initial velocity and \( g \) is the acceleration due to gravity.

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Homework Statement


A ball is thrown straight up with an initial speed of 30m/s,
(a) Show that the time it takes to reach the top of its trajectory will be 3 seconds.
(b) Show that it will reach a height of 45m (neglecting air resistance).

Homework Equations


Earth's gravity = 9.8 meter/second² (Professor said to just round it to 10).
Equation unknown.
d=1/2(g)t² ?

The Attempt at a Solution


(a) Played around with Subtracting negative -9.8m/s² (is it considered negative since the ball gets thrown up? - Instead of it coming down?).

(b) 45m = 1/2(9.8m/s²)t² - I figure I need to know "t" before I could solve this.
 
Last edited:
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rdmfresno said:

Homework Statement


A ball is thrown straight up with an initial speed of 30m/s,
(a) Show that the time it takes to reach the top of its trajectory will be 3 seconds.
(b) Show that it will reach a height of 45m (neglecting air resistance).

Homework Equations


Earth's gravity = 9.8 meter/second² (Professor said to just round it to 10).
Equation unknown.

The Attempt at a Solution


(a) Played around with Subtracting negative -9.8 (is it considered negative since the ball gets thrown up? - Instead of it coming down?). I have some free-fall equations and solutions but I couldn't find the relation between them and 'throwing up in the air.'
If the speed is lowered by 10m/s² a second, how would this look in a equation?

(b) No idea where to start

Consider what the definition is of acceleration. It is the rate of change of velocity.

If something starts out at 30 m/s and slows 10 m/s every second, it will reach 0 m/s in how many seconds?

Here are some formulas for you:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2

These lessons might be helpful:
http://www.glenbrook.k12.il.us/gbssci/Phys/Class/vectors/u3l2c.html
 
Last edited by a moderator:
Thanks a bunch. Will get started on the lesson.. then try the problem again.
 

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