Answer:
(a) 30 m/sec
(b) -50 m/sec
Explanation:
We have given initial velocity of ball u = 50 m/sec
Acceleration due to gravity 
(a) Time t = 2 sec
Now according to first equation of v = u-gt
So v=50-10×2=30 m/sec
(b) Time t = 10 sec
Now according to first equation of motion
So final velocity v = u-gt = 50-10×10 =-50 m/sec
90t - .100 = 75t
90t - 75t = 0.100
15t = 0.100
t = 0.0067
<u>t = 0.0067 hours or 24.12 seconds</u> (.0067 * 60 minutes * 60 seconds)
Answer: a) 152 cm
b) 0.725 ms
c) 10°
Explanation:
Given
Frequency of the wave, f = 524 Hz
Speed of the wave, v = 345 m/s
Wavelength of the wave, λ = ?
The relation for wavelength is given by
λ = f/v, on substituting
λ = 524 / 345
λ = 1.52 m or 152 cm
T = 1/v
T = 0.0029 s
T = 2.9 ms.
Note that the phase change is 90°, thus the time required to change the phase by 90° is
t = 2.9 * (90 / 360)
t = 2.9 * 0.25
t = 0.725 ms
The phase difference at a particular instance 4.4 cm apart is
= (4.4 / 152) * 360
= 0.02895 * 360
= 10.422°
a) 152 cm
b) 0.725 ms
c) 10°
By applying the second equation of motion, the speed at which he threw the second stone is equal to 12.10 m/s.
<h3>How to determine the speed?</h3>
First of all, we would calculate the time taken by the first stone to reach a height of 49 meters by applying the second equation of motion as follows:
S = ut + ½gt²
49 = 0(t) + ½ × 9.8 × t²
49 = 4.9t²
t² = 49/4.9
t = √10
t = 3.16 seconds.
Now, we can determine the speed at which he threw the second stone:
<u>Note:</u> Time = 3.16 - 1 = 2.16 seconds.
S = ut + ½gt²
49 = u(2.16) + ½ × 9.8 × 2.16²
49 = 2.16u + 22.86
2.16u = 49 - 22.86
u = 26.14/2.16
u = 12.10 m/s.
Read more on initial speed here: brainly.com/question/19365526
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<u>Answer:</u>
The following are the things we can learn about energy in roller coaster.
- All roller coasters work using the principle of gravitational energy.
- All roller coaster utilise the Potential energy.
- Roller coasters convert the potential energy into kinetic energy.
- Friction is reduced in roller coasters as it decreases the speed of roller coaster.
Roller coasters do not have engines whereas Gravity pulls them and potential energy gets converted into kinetic energy providing its motion. Due to the friction and air resistance, the energy gets reduced as the ride proceeds.