Question

A piece of metal has attained a velocity of 107.8 m/sec after fallinf for 10 seconds what is its initial velocity

Answer 1

The initial velocity of the piece of metal was 9.8 m/s. This was calculated using the kinematic equation for uniformly accelerated motion and given values of final velocity, acceleration due to gravity, and time.

Step-by-step explanation:

The question pertains to determining the initial velocity of a falling piece of metal assuming constant acceleration due to gravity. Given that the final velocity is 107.8 m/s after falling for 10 seconds, we can use the kinematic equation for uniformly accelerated motion:

v = u + at

Where:

v is the final velocity (107.8 m/s),

u is the initial velocity (which we are trying to find),

a is the acceleration due to gravity (9.8 m/s2), and

t is the time the object has been falling (10 s).

Rearranging the equation for u, we get:

u = v - at

Substitute the known values:

u = 107.8 m/s - (9.8 m/s2 × 10 s)

Calculating the initial velocity:

u = 107.8 m/s - 98 m/s

u = 9.8 m/s

Therefore, the initial velocity of the piece of metal was 9.8 m/s.

Answer 2

7.8 m/s

Explanation:

Here object is falling with a gravitational acceleration there for we can take acceleration = 10 m/ s² and its constant through out the motion there for we can use motion equation

V = U + at

V - Final velocity

U - Initial velocity

a - acceleration

t - time

V=U+at

107.8=U + 10×10

= 7.8 m/s