The time taken for the golf ball to reach the ground is 1 s.
<h3>
Motion of the golf ball</h3>
The path of motion of the golf ball can be described as parabolic because it is projectile.
When the golf ball reaches the ground, the final velocity will be zero.
Velocity of the golf ball is change in height with time.
v = dh/dt
h(t) = -16t² + 32t + 128
dh/dt = -32t + 32
0 = -32t + 32
32t = 32
t = 1 s
Thus, the time taken for the golf ball to reach the ground is 1 s.
Learn more about time of motion here: brainly.com/question/2364404
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<h3><em>The distance from the lighthouse to the boat will be given by:
</em></h3><h3><em>tan θ=opposite/adjacent
</em></h3><h3><em>θ=angle of depression=23
</em></h3><h3><em>opposite= height of the lighthouse
</em></h3><h3><em>adjacent=distance from the boat to the bottom of the light house
</em></h3><h3><em>hence
</em></h3><h3><em>tan 23=210/a
</em></h3><h3><em>thus solving for a we obtain:
</em></h3><h3><em>a=210/tan23
</em></h3><h3><em>hence
</em></h3><h3><em>a=494.73 ft</em></h3><h3><em>HOPE IT HELPS !!!</em></h3>
The 8 is in the ones place.
The 1 is in the tenths place.
The 3 is in the hundredths place.
The 9 is in the thousandths place.
hope it helps!
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