Answer:
Explanation:
In this scenario, we determine the initial velocity as follows:
The final velocity in this instance can be expressed as:
It is noted that transitioning from 7m/s to 13m/s takes 8 seconds. We can apply a specific kinematic equation to find the acceleration for the first part of the journey:
Solved for acceleration, we find:
For the subsequent route, we assume constant acceleration and that the train continues for 16 seconds, beginning with an initial velocity of 13m/s from the previous segment, allowing us to calculate the final speed via the following formula:
Substituting into the equation yields:
Answer:
d_total = 12 m
Explanation:
In this kinematics scenario illustrated in the graph provided, we determine the distance traveled over a 24-second duration.
The comprehensive distance can be calculated as follows:
d_total = d₁ + d₂ + d₃
Given that d₂ on the graph is level (v=0), its distance equates to zero, hence d₂ = 0.
The distance for d₁ is calculated as:
d₁ = 12 - 6 = 6 m
For distance d₃:
d₃ = 6 - 0 = 6 m
Thus, the overall distance covered is:
d_total = 6 + 0 + 6
d_total = 12 m
To tackle this issue, we will utilize concepts related to gravity based on Newtonian definitions. To find this value, we'll apply linear motion kinematic equations to determine the required time. Our parameters include:
Comet mass 
Radius 
The rock is released from a height 'h' of 1 m above the surface.
The relationship for gravity's acceleration concerning a body with mass 'm' and radius 'r' is described by:
Where G represents the gravitational constant and M denotes the mass of the planet.
Now, let’s compute the time value.
Ultimately, the time for the rock to hit the surface is t = 87.58s.
The visible spectrum extends from 390 nm to 700 nm. It consists of the colors red (620 - 750 nm), orange (590 - 620 nm), yellow (570 - 590 nm), green (495 - 570 nm), blue (450 - 495 nm), and violet (380 - 450 nm), so a wavelength of 449 nm would correspond to a violet hue.
