plz solve this one!!!
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Step-by-step explanation:
positive x-axis (east) = i
negative x-axis (west) = -i
positive Y-axis (north) = j
negative y-axis (south) = j
and north - east direction means, vector 45° with x-axis . so, (cos45° i + sin45° j)
now let's apply all above concept here.
A ball is acted upon by the following velocities
(i) 3 metre per sec due east i.e., = 3i
(ii) 11 metre per sec due to south i.e., = -11j
(iii) 5 root 2 metre per sec due north-east. i.e., = 5√2(cos45° i + sin45° j) = (5i + 5j)
now resultant velocity of ball =
= 3i + (-11j) + (5i + 5j)
= 8i - 6j
so, magnitude of resultant velocity of ball = √{8² + (-6)²} = 10m/s
direction of resultant velocity, tanα = |-6/8| = tan37° ⇒ α = 37°
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