Question

In space (no gravity), a stone is thrown with a velocity of (2icap +6jcap) m/s. Simultaneously, from the same point, a ball is thrown with a velocity of (-icap + 2jcap) m/s. What is the distance between the ball and the stone after 2 seconds?

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Answer 1

Step-by-step explanation:

given :

• stone velocity = (2icap +6jcap) m/s

• ball velocity = (-icap + 2jcap) m/s.

• distance of ball and stone = 2 second

to find :

• What is the distance between the ball and the stone after 2 seconds = ?

solution :

• velocity of stone = 2î + 6j m/s

• Time of stone = 2 sec

• D = V × T

• distance of stone = (21+ 6j) × 2

• distance of stone = 4î + 12j m

• velocity of stone = -1 +2j

• Time of stone = 2 sec

then ,

D = v × t

• distance of ball = (-1 + 2j) × 2

• distance of ball = -2î + 4j m

then we have to stone and ball distance ::

stone and ball distance = (4î + 12j) - (-2i+ 4j)

stone and ball distance = 4î + 12j + 2î - 4j

stone and ball distance = (4 + 2)i + (12 - 4)j

stone and ball distance = 6î + 8j m

then, we have find stone and ball difference

stone and ball difference = √{ (6) + (8) }

stone and ball difference = √( 36 + 64)

stone and ball difference = √100

stone and ball difference = 10

vector of algebraic :

• 1. Commutative

• 2. Associative

• 3. Additive

• 4. Distributive

Answer 2

Given :-

In space (no gravity), a stone is thrown with a velocity of (2icap +6jcap) m/s. Simultaneously, from the same point, a ball is thrown with a velocity of (-icap + 2jcap) m/s.

To Find :-

Distance between ball and stone after 2 second

Solution :-

• For Stone

We know that

Velocity = Displacement/Time

2î + 6j = Displacement/2

2(2î + 6j) = Displacement

(2 × 2î) + (2 × 6j) = Displacement

4î + 12j = Displacement

Now

• For Ball

Velocity = Displacement/Time

-î + 2j = Displacement/2

2(-î + 2j) = Displacement

(2 × (-î)) + (2 × 2j) = Displacement

-2î + 4j = Displacement

• Finding the total displacement

4i + 12j

-2i + 4j

(+) (-)

______

6î + 8j

Finding distance between ball and stone

Distance² = (6)² + (8)²

D² = 36 + 64

D² = 100

√D² = √100

D = 10