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Was the cannonball able to hit its target of 50 meters when the initial velocity was 20 m/s? Why?/Why Not?

(was not able, but I don't know the reason)


Sagot :

Answer:

It will not hit.

Explanation:

In this problem, we need to tell that was the cannonball able to hit its target of 50 meters when the initial velocity was 20 m/s.

When it will hit the target, final velocity, v = 0

Using third equation of motion as follows :

[tex]v^2-u^2=2as[/tex]

Here, a =-g

[tex]s=\dfrac{u^2}{2g}\\\\s=\dfrac{(20)^2}{2\times 9.8}\\\\=20.40\ m[/tex]

The target is in a straight line 50m away on the x-axis. As 50m is far from 20.40 m and that’s why it won’t hit.