It'll last 20 hours. If it travels 110 miles in one hours, 110 times 20 equals 2,200.
Let the key is free falling, therefore from equation of motion
.
Take initial velocity, u=0, so
.
![h = 0\times t + \frac{1}{2}g t^2= \frac{1}{2}gt^2 \\\ t =\sqrt{\frac{2h}{g} }](https://tex.z-dn.net/?f=h%20%3D%200%5Ctimes%20t%20%2B%20%5Cfrac%7B1%7D%7B2%7Dg%20t%5E2%3D%20%5Cfrac%7B1%7D%7B2%7Dgt%5E2%20%5C%5C%5C%20t%20%3D%5Csqrt%7B%5Cfrac%7B2h%7D%7Bg%7D%20%7D)
As velocity moves with constant velocity of 3.5 m/s, therefore we can use formula
![d= v \times t](https://tex.z-dn.net/?f=d%3D%20v%20%5Ctimes%20t)
From above substituting t,
.
Now substituting all the given values and g = 9.8 m/s^2, we get
.
Thus, the distance the boat was from the point of impact when the key was released is 10.60 m.
Answer:
non linear square relationship
Explanation:
formula for centripetal force is given as
a = mv^2/r
here a ic centripetal acceleration , m is mass of body moving in circle of radius r and v is velocity of body . If m ,and r are constant we have
a = constant × v^2
a α v^2
hence non linear square relationship
Answer:
A. potential energy is 258720 Joule
Explanation:
A.Gravitational potential energy is: PE = m × g × h
velocity = 15.33 m/s when the car reaches the bottom of the hill.
where, m = mass
g = acceleration due to gravity
h = height from the bottom of hill.
The potential energy is : m×g×h
=(2200×9.8×12)
=258720 Joule
B. at the bottom of the hill, the potential energy is converted into kinetic energy so PE at top = KE at bottom
kinetic energy=
(
)
where v = velocity
m= mass
therefore, v=![\sqrt\frac{2*K.E}{m} {}](https://tex.z-dn.net/?f=%5Csqrt%5Cfrac%7B2%2AK.E%7D%7Bm%7D%20%7B%7D)
or, v=![\sqrt{\frac{2*258720}{2200} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B2%2A258720%7D%7B2200%7D%20%7D)
or, v=15.33 m/s
Answer:
0.5 m/s².
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 0 m/s
Final velocity (v) = 10 m/s
Time (t) = 20 s
Acceleration (a) =?
Acceleration can simply be defined as the rate of change of velocity with time. Mathematically, it is expressed as:
a = (v – u) / t
Where:
a is the acceleration.
v is the final velocity.
u is the initial velocity.
t is the time.
With the above formula, we can obtain the acceleration of the car as follow:
Initial velocity (u) = 0 m/s
Final velocity (v) = 10 m/s
Time (t) = 20 s
Acceleration (a) =?
a = (v – u) / t
a = (10 – 0) / 20
a = 10/20
a = 0.5 m/s²
Therefore, the acceleration of the car is 0.5 m/s².