Answer:
2.2 seconds
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
Converting mph to m/s



Considering this acceleration to be constant

Time it would take to go from zero to 58.0 mph is 2.2 seconds
Answer:
113.7
Explanation:
maximum distance (s) = 8.9 km
reference intensity (I0) = 1 x 10^{-12} W/m^{2}
power of a juvenile howler monkey (p) = 63 x 10^{-6} W
distance (r) = 210 m
intensity (I) = power/area
where we assume the area of a sphere due to the uniformity of the output in all directions
area = 4π
= 4π x
= 554,176.9 m^{2}
intensity (I) = 
therefore the desired ratio I/I0 =
= 113.7
Answer:
The frequency is 
Explanation:
From the question we are told that
The time taken for it to decay to half its original size is
Let the voltage of the capacitor when it is fully charged be
Then the voltage of the capacitor at time t is said to be 
Now this voltage can be mathematical represented as

Where RC is the time constant
substituting values





Generally the cross-over frequency for a low pass filter is mathematically represented as

substituting values


Answer:
Explanation:
Let L be the length of the wire.
velocity of pulse wave v = L / 24.7 x 10⁻³ = 40.48 L m /s
mass per unit length of the wire m = 14.5 x 10⁻⁶ x 10⁻³ / 2 x 10⁻² kg / m
m = 7.25 x 10⁻⁷ kg / m
Tension in the wire = Mg , M is mass hanged from lower end.
= .4 x 9.8
= 3.92 N
expression for velocity of wave in the wire
, T is tension in the wire , m is mass per unit length of wire .
40.48 L = 
1638.63 L² = 3.92 / (7.25 x 10⁻⁷)
L² = 3.92 x 10⁷ / (7.25 x 1638.63 )
L² = 3299.64
L = 57.44 m /s