The trajectory of a projectile in an vertical plane is y = ax - bx2, where a and b are constants and x & y are respectively the horizontal and vertical distances of the projectile from the point of projection. The angle of projection q and the maximum height attained H are respectively given by:
The trajectory of a projectile in an vertical plane is y = ax - bx2, where a and b are constants and x & y are respectively the horizontal and vertical distances of the projectile from the point of projection. The angle of projection q and the maximum height attained H are respectively given by:
Option 1 -
Option 2 -
Option 3 -
Option 4 -
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1 Answer
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Correct Option - 4
Detailed Solution:Range =
On comparing with
y = x tan θ -
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Velocity at maximum height = vcoss30°
L = m (vcos30) H
B → fighter jet
A → anti-Air craft gun

Draw velocity diagram of A w.r.t. B
If A hits B
Then Relative velocity perpendicular to the line joining A to B will be zero.
That means 400 cos q = 200
 
According to question, we can write
Maximum range is obtained at 45?
u²/g = 1.6 or u = 4m/s
T = (2u sin 45? )/g = (2×4× (1/√2)/10 = 0.4√2s
Number of jumps in a given time, n = t/T = 2√2 / 0.4√2 = 5
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