. An object with an initial velocity of 20 m/s accelerates uniformly at 5 m/s in the
direction of its motion for a distance of 10 m. What is the final velocity of the object?

Given:

Unknown:

Formula:

Solution:

Respuesta :

Answer:

To find the final velocity of the object, we can use the formula for uniformly accelerated motion:

2

=

2

+

2

v

2

=u

2

+2as

Where:

v is the final velocity

u is the initial velocity

a is the acceleration

s is the distance

Given:

=

20

m/s

u=20m/s

=

5

m/s

2

a=5m/s

2

=

10

m

s=10m

Plugging the values into the formula:

2

=

(

20

m/s

)

2

+

2

×

(

5

m/s

2

)

×

(

10

m

)

v

2

=(20m/s)

2

+2×(5m/s

2

)×(10m)

2

=

400

m

2

/

s

2

+

2

×

5

m/s

2

×

10

m

v

2

=400m

2

/s

2

+2×5m/s

2

×10m

2

=

400

m

2

/

s

2

+

100

m

2

/

s

2

v

2

=400m

2

/s

2

+100m

2

/s

2

2

=

500

m

2

/

s

2

v

2

=500m

2

/s

2

Taking the square root of both sides to solve for

v:

=

500

m

2

/

s

2

v=

500m

2

/s

2

22.36

m/s

v≈22.36m/s

So, the final velocity of the object is approximately

22.36

m/s

22.36m/s.

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