Answer:
a = 1.152s
b = 0.817 m
c = 7.29m/s
Explanation: let the following
From the first equation of linear motion
V = u+at..........1
parameters be represented as :
t = Time taken
v = Final velocity
a = Acceleration due to gravity = 9.8m/s²
u = Initial velocity = 4 m/s
s = Displacement
V = 0
Substitute the values into equation 1
0 = 4-9.8(t)
-4 = -9.8t
t = 4/9.8
t = 0.408s
From : s = ut+1/2at^2.........2
S = 4×0.408+0.5(-9.8)×0.408^2
S= 1.632-4.9(0.166)
S = 1.632-0.815
S = 0.817m
Her highest height above the board is 0.817 m
Total height she would fall is 0.817+1.90 = 2.717 m
From equation 2
s = ut+1/2at^2
2.717 m = 0t+0.5(9.8)t^2
2.717 m = 0+4.9t^2
2.717 m = 4.9t^2
2.717/4.9 = t^2
0.554 =t^2
t =√0.554
t = 0.744s
Hence, her feet were in the air for 0.744+0.408seconds
= 1.152s
Also recall from equation 1
V= u+at
V = 0+9.8(0.744)
V = 7.29m/s
Hence, the velocity when she hits the water is 7.29m/s
Finally,
a = 1.152s
b = 0.817 m
c = 7.29m/s
Answer:
Explanation:
Acceleration is defined as the change in velocity per unit of time
Acceleration (a) = ΔV/t
V = Velocity t = time
ΔV = V₂ - V₁ t = 11s
V₁ = 44m/s
V₂ = 66m/s
ΔV = 66 - 44
= 22m/s
Acceleration (a) = 22/11
= 2m/s²
Displacement (d): Displacement equals the original velocity multiplied by time plus one half the acceleration multiplied by the square of time.
d = v₀ + 1/2*at²
v₀ = 44m/s
a = 2m/s
t = 11s
d = 44 + 1/2*(2 x 11²)
= 44 + 121
d = 165m
The answer is
A. Yes, the obtained speed is less than the world record
The explanation:
when the obtained speed is 6 m /s
and the world record speed = distance / time = 100 m / 10 s = 10 m/s
So, Yes, the obtained speed is less than the world record
Not only is it less, its also a reasonable average speed for a somewhat athletic person. Therefore, the leap is entirely possible.
-Samuel Brady gained his lasting notoriety for his leap over the Cuyahoga River around 1780 in what is now Kent, Ohio. After following a band of Indians into the Ohio country, a failed ambush attempt resulted in the band chasing Brady near the Cuyahoga River. To avoid capture, Brady leaped across a 22-foot (6.7 m) wide gorge of the river (which was widened considerably in the 1830s for construction of the Pennsylvania and Ohio Canal) and fled to a nearby lake where he hid in the water under a fallen tree using a reed for air.
Answer:
No distance is the length between two routes
Explanation:
Distance is the length of the route between two points. ... Direction is just as important as distance in describing motion. A vector is a quantity that has both size and direction. It can be used to represent the distance and direction of motion.
Explanation:
(a) First, we will calculate the number of moles as follows.
No. of moles = 
Molar mass of helium is 4 g/mol and mass is given as 0.1 kg or 100 g (as 1 kg = 1000 g).
Putting the given values into the above formula as follows.
No. of moles = 
=
= 25 mol
According to the ideal gas equation,
PV = nRT
or, 

= 336.17 K
Hence, temperature change will be 336.17 K.
(b) The total amount of heat required for this process will be calculated as follows.
q = 
= 
= 174573.081 J/K
or, = 174.57 kJ/K (as 1 kJ = 1000 J)
Therefore, the amount of total heat required is 174.57 kJ/K.