A toy train moves 40m in 20s at the constant velocity. What is the toy’s velocity? * 1 point
1 answer:
Answer:
2 m/s
Explanation:
Velocity is a vector quantity that is given by:
where
d is the displacement of the object (a vector indicating its change in position)
t is the time elapsed
Note that since velocity is a vector, it has both a magnitude and a direction (the same as the displacement).
For the toy train in this problem, we have:
d = 40 m (displacement)
t = 20 s (time elapsed)
So, its velocity is:
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Answer:
2560m or 2.56km (rounded to 3 significant figures)
Explanation:
First, list all known and desired values/variables (initial vertical velocity is 0 as the plane is kept level and vertical acceleration is just gravity):
The horizontal displacement is going to be the distance travelled, horizontally of course, once the package is released;
First thing to understand is that the vertical and horizontal components are to be dealt with separately because they don't affect each other;
Since there is no horizontal acceleration (ignoring air resistance), we simply require a velocity and time to find the horizontal displacement, using the formula v = d/t (or speed = distance/time);
What we have is the horizontal velocity but we don't have the time taken;
One thing we know is that the time elapsed for the vertical fall of 800m and for the horizontal displacement must be the same;
What we do, therefore, is find the time taken for the vertical displacement using the formula, s = ut + ¹/₂·at², since we know the vertical velocity, height and acceleration:
800 = (0)t + ¹/₂·(9.8)t²
800 = 4.9t²
t² = 163.26...
t = 12.77...
We now have the time taken for the vertical fall and the horizontal displacement, we can use this with the horizontal velocity we know already and get the horizontal displacement: