A child slides down a hill on a toboggan with acceleration of 1.8 m/s2. if she starts from rest, how far has she traveled in: 2 seconds
Answer:
2.4 m
Explanation:
From the question above,
Applying equation of motion,
s = ut+at²/2....................... Equation 1
Where t = time, u = initial velocity, a = acceleration, s = distance.
make s the subject of the equation,
Given: a = 1.8 m/s², t = 2 seconds, u = 0 m/s (from rest)
Substitute these value into equation 1
s = 0(2)+1.8(2²)/2
s = 1.2(4)/2
s = 2.4 m.
Hence she has traveled 2.4 m
I don't think anyone knows the answer
Answer:
a) The perimeter of the rectangle is 29.4 centimeters.
b) The uncertainty in its perimeter is 0.8 centimeters.
Explanation:
a) From Geometry we remember that the perimeter of the rectangle (
), measured in centimeters, is represented by the following formula:
(1)
Where:
- Width, measured in centimeters.
- Length, measured in centimeters.
If we know that
and
, then the perimeter of the rectangle is:


The perimeter of the rectangle is 29.4 centimeters.
b) The uncertainty of the perimeter (
), measured in centimeters, is estimated by differences. That is:
(2)
Where:
- Uncertainty in width, measured in centimeters.
- Uncertainty in length, measured in centimeters.
If we know that
and
, then the uncertainty in perimeter is:


The uncertainty in its perimeter is 0.8 centimeters.
You need to finish the question
Answer:
The equation of simple harmonic motion is 
Explanation:
Given that,
Amplitude = 5 inches
Frequency 
As per the question initial displacement is zero at t = 0 for sine curve.
The displacement is zero so the phase difference will be zero.
We know that,
The general equation of simple harmonic motion

Where, A = amplitude
= angular frequency
= phase shift
We need to calculate the time period
Using formula of frequency


Put the value into the formula


We need to calculate the angular frequency
Using formula of angular frequency


Put the value into the general equation

Hence, The equation of simple harmonic motion is 