The particle will accelerate 5m/s every second until it reaches a maximum of whatever your graph/diagram goes to, I'm in physical science and this is somewhat similar to what I am doing now but I'm not sure if that was what your looking for.
From the given information:
- Taking the movement of the Duck in the North as the x-direction
- The movement of the Duck in the East direction as the y-direction
However, we will have to compute the initial velocity and the acceleration of the duck in their vector forms.
<h3>In vector form;</h3>
The initial velocity is:

The acceleration is:

The objective of this question is to determine the speed of the duck at a certain time. Since it is not given, let's assume we are to determine the Duck speed after 4 seconds of accelerating;
Then, it implies that time (t) = 4 seconds.
Using the first equation of motion:

Then, we can replace their values into the equation of motion in order to determine the speed:



Collect like terms:


Thus, the magnitude is:




Therefore, we can conclude that the speed of the duck after 4 seconds is 1.34 m/s
Learn more about vectors here:
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M = 40 Kg , g=9.8 m/s² , h = 2 m
PE = m g h
PE = (40) (9.8) (2)
PE = 784 J
KE = PE
½m v² = m g h
½ v² = g h
½ v² = (9.8) (2)
½ v² = 19.6
v² = 19.6×2
v² = 39.2
V = √39.2
V = 6.26 m/s
KE = ½mv²
KE = ½(40) (6.26)²
KE =783.8 J
A warm room. sound travels faster in places with more excited molecules.
Since 1m/s goes to 4m/s in 3 seconds,
then 4m/s goes to 8m/s in 6 seconds.
So your answer would be:
4m/s to 8m/s in 6 seconds