A hammer is thrown upward with a speed of 14 m/s on the surface of planet X where the acceleration due to gravity is 3.5 m/s2 and there is no atmosphere. What is the speed of the hammer after 8.0 s?

Respuesta :

Pretty simple

The no atmosphere says that theres no air resistance, making the problem 10 times easier.

If the hammer is thrown upwards, it has a positive inital velocity of 14m/s

Now gravity is trying to pull it downwards so the accelerating is -3.5m/s^2 (closest planet I can think off with this acceleration is Mercury, but thats besides the point)

Anyways we can use kinematic equations to solve that

Vf = vi + at

Vf = 14m/s +(-3.5)(8)

Vf = -14 m/s

So after 8 seconds the ball is going downwards at the same height that you threw it.

answer : -14m/s or you can say 14m/s downwards

The velocity of the hammer after 8 sec will be 14 m/s in the downwards direction which is represented by the negative symbol.

What is velocity?

The velocity of an object is the rate of change of position of an object with respect to time.

Given to us

Initial Velocity of the hammer, u = 14 m/s

Acceleration due to gavity, a = -3.5 m/s²

Time, t = 8.0 s

We know that according to the first equation of motion,

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

Now, since the hammer is thrown upwards the gravity will try to pull the hammer down, which will reduce the velocity of the hammer, therefore, acceleration due to gravity is the deceleration of the hammer.

[tex]v = u+at\\\\v = 14 + (-3.5)(8)\\\\v = -14\rm \ m/s[/tex]

Hence, the velocity of the hammer after 8 sec will be 14 m/s in the downwards direction which is represented by the negative symbol.

Learn more about Velocity:

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