Time and max. height of stone thrown into air.

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SUMMARY

The maximum height reached by a stone projected vertically upwards with an initial speed of 21.0 m/s is calculated using the formula s = (v^2 - u^2) / (2a). Substituting the values, the correct maximum height is 22.5 meters. The time taken to reach this height can be determined using the equation t = (v - u) / a, resulting in a time of approximately 2.14 seconds to reach the peak. The total time in the air is double this value, totaling approximately 4.28 seconds.

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Homework Statement



"The initial speed of a stone projected vertically upwards is 21.0m/s

a)What is the maximum height it will reach?

b) How long does it take to reach the highest point and what is the total time which it is in the air?"

Relative information:
a=9.8 m/s/s
u=21.0 m/s
v=0 m/s
s=?
t=?

Homework Equations



I'm not sure, but I thought v^2=u^2+2as rearranged to s=(v^2-u^2)/2a might be the equation I need for a) at least, then for b), v=u+at rearranged to t=(v-u)/a.


The Attempt at a Solution



When I attempted, I got

a) s=(v^2-u^2)/2a
s=(0^2-u^2)/2*9.8
=-22.5

b) ?

I know this can't be right, because I don't think the distance can be negative. Could some kind person please, please help me?
 
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Acceleration acts downwards, so it is supposed to be -9.8 m/s^2 for the acceleration.
 
oooohhhhh :) thankyou !
 

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