Answer:


Explanation:
Given:
- minimum amplitude at the start of oscillation cycle,

- the first maximum amplitude after the start of oscillation cycle,

- Time taken to reach from the first minima to the first maxima,

As we know that an oscilloscope executes a wave cycle represented by a sine wave. So we can deduce that it has executed one-fourth of the cycle in going from the amplitude of 20 units to 100 units in 0.005 seconds.
<u>So the time taken to complete one cycle of the oscillation:</u>

is the time period of the oscillation
<u>We know frequency:</u>



Draw a freebody diagram, it will explain it really well
the boat is floating on top of the water, which means that the net acceleration in the y direction must be zero
the boat is not sinking (dominant downwards acceleration/force)
the boat is not flying (dominant upward acceleration/force)
that measn

now, if you drew the FBD, you only have 2 forces acting on the boat.
the upward bouyancy force on the boat and the downward force due to weight

since the net force is equal to zero

and thus
Acceleration = (change in speed) / (time for the change)
change in speed = (speed at the end) - (speed at the beginning)
Our cyclist's change in speed = (3 m/s) - (8 m/s) = -5 m/s
Acceleration = (-5 m/s) / (60 seconds)
<em>Acceleration = -1/12 m/s²</em>
Answer:
0.229 seconds
Explanation:
Given:
y₀ = 80.6 m
v₀ = 0 m/s
a = -9.8 m/s²
We need to find the difference in times when y = 10.8 m and y = 2.10 m.
When y = 10.8 m:
y = y₀ + v₀ t + ½ at²
10.8 = 80.6 + (0) t + ½ (-9.8) t²
10.8 = 80.6 − 4.9 t²
4.9 t² = 69.8
t = 3.774
When y = 2.10 m:
y = y₀ + v₀ t + ½ at²
2.10 = 80.6 + (0) t + ½ (-9.8) t²
2.10 = 80.6 − 4.9 t²
4.9 t² = 78.5
t = 4.003
The difference is:
4.003 − 3.774 = 0.229
The man has 0.229 seconds to get out of the way.