Answer:

Explanation:
We are asked to find the cyclist's initial velocity. We are given the acceleration, final velocity, and time, so we will use the following kinematic equation.

The cyclist is acceleration at 1.2 meters per second squared. After 10 seconds, the velocity is 16 meters per second.
= 16 m/s - a= 1.2 m/s²
- t= 10 s
Substitute the values into the formula.

Multiply.


We are solving for the initial velocity, so we must isolate the variable
. Subtract 12 meters per second from both sides of the equation.


The cyclist's initial velocity is <u>4 meters per second.</u>
Answer:

Explanation:
As the path is straight, so the speed is equivalent to velocity. Now. assuming that the acceleration and deceleration of the train are constant. So, change of velocity with respect to time for acceleration as well as deceleration is constant. Hence, the slope of the speed-time graph is constant for the time of acceleration as well as deceleration. The speed for the time from
to
is constant, so slope for this interval of time is zero. The speed-time graph is shown in the figure.
The total distance covered by the train during the entire journey is the area of the speed-time graph.
Area


As velocity is in
and time is in
so the unit of area is 
Hence, the total distance is
.
Answer:
True
Explanation:
Given that Power whose unit is Watt equates to one joule of work per second. It implies that Power is directly proportional to the work done and inversely proportional to the time to do the work.
Therefore, in this case, the right answer to the question is that it is TRUE that the power is inversely proportional with time
Answer:
g/cm³
Explanation:
From the question given above,
The y-axis is representing mass (g)
The x-axis is representing volume (cm³)
Unit of slope =?
Slope of a graph is simply defined as the change in y-axis divided by the change in x-axis. Mathematically it is expressed as:
Slope = change in y-axis (Δy)/change in x-axis (Δx)
Slope = Δy/Δx
Thus, with the above formula, we can obtain the unit used for measuring the slope as follow:
y-axis = mass (g)
x-axis = volume (cm³)
Slope =.?
Slope = Δy/Δx
Slope = mass (g) /volume (cm³)
Slope = g/cm³
Therefore, the derive unit used for measuring the slope is g/cm³