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Question: At a height 0.4m from the ground, the velocity of a projectile is, \(\overrightarrow{v} = (6\widehat...

At a height 0.4m from the ground, the velocity of a projectile is, v=(6i^+2j^)\overrightarrow{v} = (6\widehat{i} + 2\widehat{j}) m/s. The angle of projection is: (g = 10 m/s2)

A

450

B

600

C

300

D

tan–1(3/4)

Answer

300

Explanation

Solution

2 = u2sin2θ2hg\sqrt { u ^ { 2 } \sin ^ { 2 } \theta - 2 h g }

or 4 = u2 sin2 q – 2 (0. 4) (10)

or u2 sin2q = 12

or u sin q = 232 \sqrt { 3 }

and u cos q = 6

\ tan q = 13\frac { 1 } { \sqrt { 3 } } or q = 300