Answer:
7.75m/s or [tex]2\sqrt{15}m/s[/tex]
Explanation:
m = 1.5kg
u= 10m/s
s = 2m
a = [tex]10m/s^{2}[/tex]
v = ?
acceleration due to gravity is negative when an object is going up because the force of gravity reduces the speed of the object
using the formula ;
[tex]v^{2} = u^{2} - 2as[/tex] since the object is moving upwards (negative acceleration)
= 100 - 2(10)(2)
100 - 40
[tex]v^{2}[/tex] = 60
v = [tex]\sqrt{60}[/tex]
= 7.75m/s
Velocity is a vector quantity. The value of the final velocity for the given ball is 7.75 m/s.
[tex]v^2= u^2 +2as[/tex]
Where,
[tex]v[/tex] - final velocity
[tex]u[/tex]- initial velocity = 10m/s
[tex]a[/tex] - acceleration = [tex]10 \rm \ m/s^2[/tex]
[tex]s[/tex] - speed =2 cm
Put the values in the equation,
[tex]v^2 = 100 - 2(10)(2)\\\\v = \sqrt {100-40}\\\\v = 7.75\rm \ m/s[/tex]
Therefore, the value of the final velocity for the given ball is 7.75 m/s.
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