Answer:
1.63 s
Explanation:
The skier lands on the sloped section when the direction of its velocity is exactly identical to that of the slope, so at 
below the horizontal.
This occurs when the magnitude of the vertical velocity is equal to the horizontal velocity (in fact, 
, and since 
and so 
.
We already know the horizontal velocity of the skier:
And this is constant during the entire motion.
The vertical velocity instead is given by
where
is the initial vertical velocity (zero since the skier flies off horizontally)
g = 9.8 m/s^2
t is the time
Here we have chosen the downward direction as positive direction.
Substituting 
, we find the time:
Answer:
14 m/s
Explanation:
Using the principle of conservation of energy, the potential energy is converted to kinetic energy, assuming any losses.
Kinetic energy is given by ½mv²
Potential energy is given by mgh
Where m is the mass, v is the velocity, g is acceleration due to gravity and h is the height.
Equating kinetic energy to be equal to potential energy then
½mv²=mgh
V
Making v the subject of the formula
v=√(2gh)
Substituting 9.81 m/s² for g and 10 m for h then
v=√(2*9.81*10)=14.0071410359145 m/s
Rounding off, v is approximately 14 m/s
Answer:
The required IVP is;
u'' + 196u = 0
where;
u(0) = 0 and
u'(0) = -10
Explanation:
See the attached for explanation
A. All living things and objects
