Answer:
6.4 seconds
Step-by-step explanation:
Using the second equation of motion.
d= 200m/s.
a= 9.8ms^-1 . Acceleration due to gravity.
t= time.
substituting,
t=
t= 6.4 seconds
The range is
r: {-9,4,6,8, 10}
hope this helpsss
This can be written as:
"No greater than" does not necessarily mean less than, but it just means it cannot go over. So equal to or less than.
"The difference of a number and 2" can be represented as "n - 2"
If you were to solve this inequality, you would end up getting:
or
Hope this helps! :)
Assuming metric units, metre, kilogram and seconds
Best approach: draw a free body diagram and identify forces acting on the child, which are:
gravity, which can be decomposed into normal and parallel (to slide) components
N=mg(cos(theta)) [pressing on slide surface]
F=mg(sin(theta)) [pushing child downwards, also cause for acceleration]
m=mass of child (in kg)
g=acceleration due to gravity = 9.81 m/s^2
theta=angle with horizontal = 42 degrees
Similarly, kinetic friction is slowing down the child, pushing against F, and equal to
Fr=mu*N=mu*mg(cos(theta))
mu=coefficient of kinetic friction = 0.2
The net force pushing child downwards along slide is therefore
Fnet=F-Fr
=mg(sin(theta))-mu*mg(cos(theta))
=mg(sin(theta)-mu*cos(theta)) [ assuming sin(theta)> mu*cos(theta) ]
From Newton's second law,
F=ma, or
a=F/m
=mg(sin(theta)-mu*cos(theta)) / m
= g(sin(theta)-mu*cos(theta)) [ m/s^2]
In case imperial units are used, g is approximately 32.2 feet/s^2.
and the answer will be in the same units [ft/s^2] since sin, cos and mu are pure numbers.
Answer:
<em> 4/12 and 6/18</em>
Step-by-step explanation:
Given the fraction 2/6
We are to write 2 different equivalent fractions that are the same as 2/6
To do this, we will multiply the numerator and denominator of the fraction by same constant. Multiply the numerator and denominator by 2 will give;
2/6 * 2/2
= (2*2)/(6*2)
= 4/12
Also multiplying by a value of 3
= 2/6 * 3/3
= (2*3)/(6*3)
= 6/18
<em>Hence the 2 different equivalent fractions are 4/12 and 6/18</em>
