Explanation:
It is given that,
A particle starts from rest and has an acceleration function as :
(a) Since, 
v = velocity
(b) 
x = position
(c) Velocity function is given by :
t = 1 seconds
So, at t = 1 second the velocity of the particle is zero.
Answer:
Part a)
Part b)
Part c)
Part d)
Part e)
Part f)
Part g)
Explanation:
Initial speed of the launch is given as
initial speed = 
angle = 
degree
Now the two components of the velocity
similarly we have
Part a)
Now we know that horizontal range is given as
maximum height is given as
so we have
time of flight is given as
Part b)
Now the speed of the ball in x direction is always constant
so at the peak of its path the speed of the ball is given as
Part c)
Initial vertical velocity is given as
Part d)
Initial speed is given as
so we will have
Part e)
Angle of projection is given as
Part f)
If we throw at same speed so that it reach maximum height
then the height will be given as
Part g)
For maximum range the angle should be 45 degree
so maximum range is
Answer:
4 m/s²
Explanation:
When the elevator is 1 m below point of contact , compression will be 1 m.
Restoring force in the spring will be 10600 N. Friction force of 17000N will also act in upward direction . The weight of 2000 x 9.8 N will act downwards
Force in down ward direction = 2000 x 9.8
= 19600 N
Force in upward direction
= 10600 + 17000
= 27600 N
Net force in upward direction
= 27600 - 19600
= 8000 N
Acceleration in upward direction
= 8000 / 2000
= 4 m/s²
Answer:
Explanation:
In a frictionless system with no acceleration, the tension in the rope must be F along its entire length
FBD analysis of the lower pulley has two upward acting tension vectors F and one downward acting weight vector W
2F = W
F = W/2
FBD analysis of the upper pulley has one upward acting support vector T and three downward acting tension vectors F
T = 3F
T = 3(W/2)
T = 1.5W
Answer:
stomata to regulate water
specialized cells
Explanation:
Land plants are able to successfully adapt to staying on land through the use of stomata to regulate water loss and through the development of specialized cells that give support to grow erect.
Water regulation is important for the survival of plants on land, otherwise, they may face desiccation as a result of the heat from the sun. <u>The stomata is a structure found on the leaves of land plants that open and close to regulate the amount of water lost to the environment through evapotranspiration.</u> When there is adequate water and the plant can afford to lose some water, the stomata open, otherwise, the stomata close.
Support is also important for land plant's survival and the development of specialized cells in the form of <em>sclerenchyma cells</em> take care of this. The <em>fib</em>ers and <em>sclerids</em> are two types of sclerenchyma cells that primarily function to support the land plants.
