a body is projected at an angle 30 degree to the horizontal with a speed of 30 m/s. the anglemade by the velocity vector with the horizontal after 1.5 s is (g=10m/s)
Answers
Answer:
The angle made by velocity vector with the horizontal after 1.5 s is zero
Explanation:
Initial velocity of the body u = 30 m/s
Angle of projection = 30°
Horizontal component of the velocity = ucos30° = 30 × √3/2 = 15√3 m/s
Vertical component of the velocity = usin30° = 30 × 1/2 = 15 m/s
The acceleration due to gravity is acting only in the vertical direction
Therefore, only the vertical component of the velocity will change
Using the first equation of motion
If the vertical component of the velocity after 1.5 seconds is v then
v = u - gt
v = 15 - 10 × 1.5
= 15 - 15
= 0
Therefore, after 1.5 seconds, the body will have only horizontal velocity
Hence the Angle made by velocity vector with the horizontal = 0
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