A coin released at rest from the top of a tower hits the ground after falling 1.5 s. What is the speed of the coin as it hits the ground?

Respuesta :

initially coin is at rest and then it drop for total time t = 1.5 s

so here the speed of the coin at which it will hit the floor is to be find

[tex]v_f = v_i + at[/tex]

here we know that

[tex]v_i = 0[/tex]

a = 9.8 m/s^2

t = 1.5 s

now from above equation

[tex]v_f = 0 + 1.5 (9.8)[/tex]

[tex]v_f = 14.7 m/s[/tex]

so it will hit the floor with speed 14.7 m/s

The speed of coin as it hits the ground is 14.7 m/s.

Given data:

Initial speed of coin is, [tex]u=0 \;\rm m/s[/tex].

Time taken to fall on ground is, [tex]t = 1.5 \;\rm s[/tex].

Use first kinematic equation of motion as,

[tex]v = u+gt[/tex]

here, g is the gravitational acceleration.

Solving as,

[tex]v = 0+9.8 \times 1.5\\v= 14.7 \;\rm m/s[/tex]

Thus, the speed of coin as it hits the ground is 14.7 m/s.

Learn more about kinematic equation of motion here:

https://brainly.com/question/13202578?referrer=searchResults

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