A ball thrown upis caught by the thrower after 4 second. How high did it go and with what velocity was it thrown? Hoe far was it below the highest point 3 second after it was thrown?
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t= 4s
a=-10m/s^2
To reach max height , t=2s
And at max height , v=0m/s
Using
v=u+at
0=u-(10)(2)
u= 20m/s
Using
V^2-u^2=2as
0-400=-(2)(10)(s)
S= 20m
Now by s=ut+1/2at^2
At t=3s , we have
S=(20)(3)-1/2(10)3
S=60-15
S=45 m
But we require the answer from max height.
So we have 45-20=25m
So initial velocity = 20m/s
Max height =20m
Height at 3s from max height = 25m
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