Explanation:
Find the time it takes for the roadrunner to land.
Given (in the y direction):
Δy = 0 m
v₀ = v sin 10°
a = -9.81 m/s²
Find: t as a function of v
Δy = v₀ t + ½ at²
(0 m) = (v sin 10°) t + ½ (-9.81 m/s²) t²
t = (v sin 10°) / 4.905
Given (in the x direction):
Δx = 20.5 m
v₀ = v cos 10°
a = 0 m/s²
Find: t as a function of v
Δx = v₀ t + ½ at²
(20.5 m) = (v cos 10°) t + ½ (0 m/s²) t²
t = 20.5 / (v cos 10°)
Set equal and solve for v:
(v sin 10°) / 4.905 = 20.5 / (v cos 10°)
v² sin 10° cos 10° = 100.5525
v = 24.2485398301588
Graph:
desmos.com/calculator/x4b2zf1hxj
None of the options shown are correct.
Answer:
Explanation:
Knowing that the volume of a sphere is V=(4/3)πr³ and
We must find when r=14cm
V=(4/3)πr³ ⇒
and r=14cm then
Note: as you can see the relationship of change of r with respect to t is negative because it is a decrease, and also its volume ratio
The frequency of the sound waves determine their pitch.
Answer:
The velocity of the skateboard is 0.774 m/s.
Explanation:
Given that,
The spring constant of the spring, k = 3086 N/m
The spring is stretched 18 cm or 0.18 m
Mass of the student, m = 100 kg
Potential energy of the spring,
To find,
The velocity of the car.
Solution,
It is a case of conservation of energy. The total energy of the system remains conserved. So,
v = 0.774 m/s
So, the velocity of the skateboard is 0.774 m/s.
In physics, gravity is the natural force that causes things to fall toward the earth. The noun gravity can also mean seriousness or solemnity. Someone who conducts themselves with an air of gravity is someone who takes what they are doing seriously.