An object is dropped from a height of 120 the acceleration of the object is 10 metre per second downwards find the distance travelled by the object after 1 second to second 3 second what is the final velocity of the object after 3 seconds
Answers
QUESTION:
An object is dropped from a height of 120 the acceleration of the object is 10 metre per second downwards find the distance travelled by the object after 1 second to second 3 second what is the final velocity of the object after 3 seconds.
ANSWER:
1.) distance travelled by the object from 1 to 2 seconds = 20m
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2.) the final velocity of the object after 3 seconds = 30 m/s
Explanation:
given that,
An object is dropped from a height of
120 m
so,
here initial velocity = 0 [since was in rest]
height = 120 m
given,
gravitational acceleration = 10 m/s²
to find,
1.) distance travelled by the object after 1 second to second 3
let final velocity be v
here,
we have ,
time(t) = 2 seconds ,
height(h) = h
initial velocity(u) = 0
final velocity = v
gravitational acceleration = 10 m/s²
by the motion formulae of gravitation ,
h = ut + 1/2gt²
now,
putting the values,
h = (0)(2) + 1/2(10)(2)²
h = 40/2
h = 20 m
so,
distance travelled by the object from 1 to 2 seconds = 20 m
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2.) the final velocity of the object after 3 seconds
here,
time = 3 seconds
here,
height(h) = h
initial velocity = 0
let the final velocity after 3 seconds be v
gravitational acceleration(g) = 10 m/s²
by the motion formulae of gravitation
h = ut + (1/2)gt²
h = (0)(3) + (1/2)(10)(3)²
h = 90/2
h = 90 m
so,
body will 90 m far from the initial point.
now,
velocity = distance/time taken
distance = 90 m
time taken = 3 seconda
putting the values
velocity = 90/3
velocity = 30 m/s
so,
Since u=v+at
And your body is initially rest so you been 0 of the equation reduces to
v=at
Here a is the acc.and t is time so
v=2*10