Answer:
a) 0.658 seconds
b) 0.96 inches
Explanation:
![v=u+at\\\Rightarrow 0=4.5-32.1\times t\\\Rightarrow \frac{-4.5}{-32.1}=t\\\Rightarrow t=0.14 \s](https://tex.z-dn.net/?f=v%3Du%2Bat%5C%5C%5CRightarrow%200%3D4.5-32.1%5Ctimes%20t%5C%5C%5CRightarrow%20%5Cfrac%7B-4.5%7D%7B-32.1%7D%3Dt%5C%5C%5CRightarrow%20t%3D0.14%20%5Cs)
Time taken by the ball to reach the highest point is 0.14 seconds
![s=ut+\frac{1}{2}at^2\\\Rightarrow s=4.5\times 0.14+\frac{1}{2}\times -32.1\times 0.14^2\\\Rightarrow s=0.315\ ft](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%5CRightarrow%20s%3D4.5%5Ctimes%200.14%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20-32.1%5Ctimes%200.14%5E2%5C%5C%5CRightarrow%20s%3D0.315%5C%20ft)
The highest point reached by the snowball above its release point is 0.315 ft
Total height the snowball will fall is 4+0.315 = 4.315 ft
![s=ut+\frac{1}{2}at^2\\\Rightarrow 4.315=0t+\frac{1}{2}\times 32.1\times t^2\\\Rightarrow t=\sqrt{\frac{4.315\times 2}{32.1}}\\\Rightarrow t=0.518\ s](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%5CRightarrow%204.315%3D0t%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2032.1%5Ctimes%20t%5E2%5C%5C%5CRightarrow%20t%3D%5Csqrt%7B%5Cfrac%7B4.315%5Ctimes%202%7D%7B32.1%7D%7D%5C%5C%5CRightarrow%20t%3D0.518%5C%20s)
The snowball will reach the bank at 0.14+0.518 = 0.658 seconds after it has been thrown
![v=u+at\\\Rightarrow v=0+32.1\times 0.518\\\Rightarrow v=16.62\ ft/s](https://tex.z-dn.net/?f=v%3Du%2Bat%5C%5C%5CRightarrow%20v%3D0%2B32.1%5Ctimes%200.518%5C%5C%5CRightarrow%20v%3D16.62%5C%20ft%2Fs)
![v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{0^2-16.62^2}{2\times -100\times 3.28}\\\Rightarrow s=0.42\ ft](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as%5C%5C%5CRightarrow%20s%3D%5Cfrac%7Bv%5E2-u%5E2%7D%7B2a%7D%5C%5C%5CRightarrow%20s%3D%5Cfrac%7B0%5E2-16.62%5E2%7D%7B2%5Ctimes%20-100%5Ctimes%203.28%7D%5C%5C%5CRightarrow%20s%3D0.42%5C%20ft)
The snowball goes 0.5-0.42 = 0.08 ft = 0.96 inches
I'm a little confused by your question.
If you mean what is popular sovereignty, it is the belief that the governments is made and sustained by the consent of the people that it governs.
Answer: 10.3m/s
Explanation:
In theory and for a constant velocity the physics expression states that:
Eq(1): distance = velocity times time <=> d = v*t for v=constant.
If we solve Eq (1) for the velocity (v) we obtain:
Eq(2): velocity = distance divided by time <=> v = d/t
Substituting the known values for t=15s and d=155m we get:
v = 155 / 15 <=> v = 10.3
Answer:
Explanation:
Block A sits on block B and force is applied on block A . Block A will experience two forces 1) force P and 2 ) friction force in opposite direction of motion . Block B will experience one force that is force of friction in the direction of motion .
Let force on block A be P . friction force on it will be equal to kinetic friction, that is μ mg , where μ is coefficient of friction and m is mass of block A
friction force = .4 x 2.5 x 9.8
= 9.8 N
net force on block A = P - 9.8
acceleration = ( P - 9.8 ) / 2.5
force on block B = 9.8
acceleration = force / mass
= 9.8 / 6
for common acceleration
( P - 9.8 ) / 2.5 = 9.8 / 6
( P - 9.8 ) / 2.5 = 1.63333
P = 13.88 N .