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What is the instantaneous velocity of a freely falling object 14 s after it is released from a position of rest

Sagot :

The instantaneous velocity of the object is 137.2 m/s along the downward direction.

Instantaneous velocity: The velocity of an object at a particular instant of time is called the instantaneous velocity.

Note: The y-axis is taken along the upward direction so acceleration due to gravity will be negative.

Any object that is falling freely is acted upon by gravity. The first equation of motion gives the relationship between initial velocity, the velocity at time t, time, and acceleration. The equation is,

v=u+at

where v is the velocity at time t, u is the initial velocity, t is the time, and g is the acceleration due to gravity. Since the object starts from rest, its initial velocity is zero.

For the given case, u=0, a=-9.8 m/s^2 and t=14 s. Put the values in the equation to get the instantaneous velocity of the object at t=14 s.

v=0+(-9.8)(14)

v=-137.2 m/s

The negative sign indicates the object is falling downward.

Learn more about instantaneous velocity,

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