Answer:
v = 37.59 km/h
Explanation:
The question says, "how fast in km / h did usain bolt run at the berlin world championship in 2009 to break the world record for the 100m sprint in 9.58".
Distance, d = 100 m = 0.1 km
Time, t = 9.58 s = 0.00266 h
We need to find the speed of the Usain Bolt. We know that,
Speed = distance/time
So,

So, the required speed is equal to 37.59 km/h.
Answer: vf = 51 m/s
d = 112 m
Explanation: Solution attached:
To find vf we use acceleration equation:
a = vf - vi / t
Derive to find vf
vf = at + vi
Substitute the values
vf = 3.5 m/s² ( 8.0 s) + 23 m/s
= 51 m/s
To solve for distance we use
d = (∆v)² / 2a
= (51 m/s - 23 m/s )² / 2 ( 3.5 m/s²)
= (28 m/s)² / 7 m/s²
= 784 m/s / 7 m/s²
= 112 m
The ball travels 18.3 m at a speed of 35.6 m/s.
How long does the trip take ?
time = (distance)/(speed) = (18.3 m) / (35.6 m/s) = 0.514 second
All during the trip, the ball is spinning at the rate of 29 rev/second.
Spinning at 29 rev/s for 0.514 sec, it completes 14.91 revolutions,
before stopping with a THUNK in the pocket of the catcher's mitt.
Answer:
1.25 s
Explanation:
We are given that
Initial velocity of boy=u=0
Time=0.883 s
Let x be the total distance covered by boy in entire trip.
s=
We know that

Where 
Substitute the values


m
Again using the above formula




Hence, 1.25 s passes during his entire tripe from the top down to the water.
Answer:
0.8067 m
69.696 N
Explanation:
m = Mode = 3
M = Mass of string = 4 g
f = Frequency = 180 Hz
l = Length of string = 121 cm
Length of the string is given by

The wavelength is 0.8067 m
Linear density is given by

Speed of the wave

Speed of wave is given by

Tension is given by 69.696 N