Answer:
2.22m/s to the left
Explanation:
Given parameters:
Initial position = +125m
Final position = -75m
Motion time = 90s
Unknown:
Velocity of the steel ball = ?
Solution:
The velocity of the steel ball is given as the displacement divided by the time;
Velocity = 
The net displacement of the ball = 125- (-75) = 200m to the left
Input the parameters and solve for the velocity;
Velocity =
= 2.22m/s to the left
Answer: It represents the whole distance traveled. Hope this helps!
Explanation:
Answer:
distance changing at rate of 3.94 inches/sec
Explanation:
Given data
wall decreasing at a rate = 9 inches per second
ladder L = 152 inches
distance h = 61 inches
to find out
how fast is the distance changing
solution
we know that
h² + b² = L² ..................1
h² + b² = 152²
Apply here derivative w.r.t. time
2h dh/dt + 2b db/dt = 0
h dh/dt + b db/dt = 0
db/dt = - h/b × dh/dt .............2
and
we know
h = 61
so h² + b² = L²
61² + b² = 152²
b² = 19383
so b = 139.223
and we know dh/dt = -9 inch/sec
so from equation 2
db/dt = -61/139.223 (-9)
so
db/dt = 3.94 inches/sec
distance changing at rate of 3.94 inches/sec
Answer:20 mph
Explanation:
Given
distance between college to Tyrone=20 miles
Given professor drives with a velocity of 60 mph
he returns to college after reaching tyrone and then again drive to tyrone.
so his net displacement is 20 miles
time taken to cover 20 miles is
hr
average velocity


h = average height of Niagara falls = 45 m
P = power generated by Stations I and II together = 1926 MW = 1926 x 10⁶ Watt
m = mass of water required to go over the falls
g = acceleration due to gravity
t = time = 1 sec
Power generated is given as
Power generated = potential energy lost/time
P = mgh/t
1926 x 10⁶ = m (9.8) (45)/1
m = 1926 x 10⁶ /(9.8 x 45)
m = 4.4 x 10⁶ kg
it is given that , 1 kg = 1 litre
hence
hence Volume of water = V = 4.4 x 10⁶ litre