Answer:
a) 29.36 m
b) 2.44 s
c) 2.57 s
d) 25.117 m/s
Explanation:
t = Time taken
u = Initial velocity = 24 m/s
v = Final velocity
s = Displacement
a = Acceleration due to gravity = 9.81 m/s²
b)

Time taken by the ball to reach the highest point is 2.44 seconds
a)

The highest point reached by the ball above its release point is 29.36 m
c) Total height is 3+29.35 = 32.35 m

The ball reaches the ground 2.57 seconds after reaching the highest point
d)

The ball will hit the ground at 25.2117 m/s
The answer is A. Hope this helps!!!
Answer:
The average death rate for this type of event is closest to 350 people per event.
Explanation:
Between the years 2048 and 2057
Is 10 years. Since there is only one chance of event between these years, there is no point to consider it.
The total number of events = 2940 chances.
average death rate per event = total number of dead people divided by total number of events of occurrence.
1000000/2940 = 340.134
The average death rate for this type of event is therefore closest to 350 people per event
Answer:
29.16 J
Explanation:
From Hook's law,
W = 1/2(ke²)..................... Equation 1
Where W = work done, k = Spring constant, e = extension.
Given: W = 9 J, e = 0.5 m.
Substitute into equation 1
9 = 1/2(k×0.5²)
Solve for k
k = 18/0.5²
k = 72 N/m.
The work done required to stretch the spring by additional 0.4 m is
W = 1/2(72)(0.4+0.5)²
W = 36(0.9²)
W = 29.16 J.
Answer:
a.3Hz
b.0.0034m
Explanation:
First, we know the flute is an open pipe, because open pipe as both end open and a close organ pipe as only one end close.
The formula relating the length and he frequency is giving as
.
a.we first determine the length of the flute at the fundamental frequency i.e when <em>n</em>=1 and when the speed is in the 342m/s
Hence from
.
since the value of the length will remain constant, we now use the value to determine the frequency when the air becomes hotter and the speed becomes 345m/s.

Hence the require beat is
.
b. since the length is dependent also on the speed and frequency, we determine the new length when she plays with a fundamental frequency when the speed of sound is 345m/s
using the formula
Now to determine the extension,
