Solution1:
0.25 min = 15 secs
a = (v - ) / t
v = 0 (stops to rest), t = 15
⇒ a = -/15
x = t + a
⇒ 10.5 = * 15 + * * 225
10.5 = * 15 -
10.5 = * 7.5
= 1.4 (m/s)
⇒ a = - (m/s^2)
Solution2:
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Answer:
7.4 m
Explanation:
Friction is going to consume all of the initial energy:
Solving for x:
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Answer: h = 20.92 m
Explanation: By using the law of conservation of energy, the kinetic energy of the ball equals it potential energy.
Kinetic energy =mv^2/2
Potential energy = mgh
Where m = mass of the object, v = velocity of object = 23.5 m/s
g = acceleration due gravity = 9.8 m/s^2
mv^2/2 = mgh
m cancels out each other on both sides , hence we have that
v^2 = 2gh.
We want the ball to move towards the wall (horizontal motion), hence we need the horizontal component of the velocity since the velocity is inclined at an angle of 30.5 to the ground (horizontal).
Hence v = 23.5 × cos 30.5, v = 20.248 m/s
Recall that v^2 = 2gh
(20.248)^2 = 2×9.8×h
409.98 = 19.6 h
h = 409.98/ 19.6
h = 20.92 m