A body is projected with an initial velocity 20 m/s at 60° to the horizontal. the displacement after 2s is
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Explanation:
Horizontal displacement travelled
x = velocity along horizontal × Time
velocity along horizontal at any time is constant (uCos∅)
= (uCos∅) × t
= 20Cos60 × 2
= 20 m
Vertical component of velocity at t = 2 s
V = (uSin∅) - gt
= (20Sin60) - (10 × 2)
= 10√3 - 20
= 10(√3 - 2) m/s
Vertical displacement (i.e height) after 2 s
h = Vt - 0.5gt²
= (10(√3 - 2))2 - (0.5 × -10 × 2²)
= 20(√3 - 2) + 20
= 20√3 - 20
= 14.64 m
Net Displacement
= x² + y²
= (20 m)² + (14.64 m)²
= 614.3 m
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