1.

An object is moving with speed 10 m/s along thedirection of a vector 4i’ - 3j’. Velocity of the object(1) 8i’ - 6j’ m/s(2) 10i’ - 10j’ m/s(3) 40i’ -30j’ m/s(4) 6i’ – 8j’ m/s. ( ’ )means cap​

Answer»

Dear Student,

◆ Answer - (1)

Velocity = 8I’ - 6j’ m/s

● Explanation -

# Given -

Speed = 10 m/s

Direction = 4i’ - 3j’

# Solution -

UNIT vector ALONG 4i’ - 3j’ is -

Unit vector = (4i’ - 3j’) / √(4^2 + 3^2)

Unit vector = (4i’-3j’)/5

Velocity of the OBJECT is given by -

Velocity = speed × unit vector

Velocity = 10 × (4i’-3j’)/5

Velocity = 8i’ - 6j’ m/s

Therefore, velocity of object is 8i’-6j’ m/s.

Hope that helps you...


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