An object is moving with speed 10 m/s along the
direction 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
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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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