269841 A body is projected from a point with different angles of projections\(20^{\circ}, 35^{\circ}, 45^{0}, 60^{\circ}\) with the horizontal but with same initial speed. Their respective horizontal ranges are \(R_{1}, R_{2}, R_{3}\) and \(R_{4}\). Identify the correct order in which the horizontal ranges are arranged in increasing order

269842 Two particles are projected from the same point with the same speed at different angles\(\theta_{1}\) and \(\theta_{2}\) to the horizontal. If their respective times of flights are \(T_{1}\) and \(T_{2}\) and horizontal ranges are same then
a) \(\theta_{1}+\theta_{2}=\mathbf{9 0}^{0}\)
b) \(\mathbf{T}_{1}=\mathbf{T}_{2} \tan \theta_{1}\)
c) \(\mathrm{T}_{1}=\mathrm{T}_{2} \boldsymbol{\operatorname { t a n }} \theta_{2}\)
d) \(\mathbf{T}_{1} \sin \theta_{2}=\mathbf{T}_{2} \sin \theta_{1}\)

269843 Two bodies are projected at angles\(30^{\circ}\) and \(60^{\circ}\) to the horizontal from the ground such that the maximum heights reached by them are equal. Then
a) Their times of flight are equal
b) Their horizontal ranges are equal
c) The ratio of their initial speeds of projection is \(\sqrt{3}: 1\)
d) Both take same time to reach the maximum height.

269844 A body is projected with an initial speed of\(100 \sqrt{3} \mathrm{~ms}^{-1}\) at an angle of \(60^{\mathbf{0}}\) above the horizontal. if \(g=10 \mathrm{~ms}^{-2}\) then velocity of the projectile
a) Is perpendicular to it's acceleration at the instant \(t=15\) sec.
b) Is perpendicular to initial velocity of projection at \(t=20 \mathrm{sec}\).
c) Is minimum at the highest point
d) Changes both in magnitude and direction, during its flight.

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269841 A body is projected from a point with different angles of projections\(20^{\circ}, 35^{\circ}, 45^{0}, 60^{\circ}\) with the horizontal but with same initial speed. Their respective horizontal ranges are \(R_{1}, R_{2}, R_{3}\) and \(R_{4}\). Identify the correct order in which the horizontal ranges are arranged in increasing order

269842 Two particles are projected from the same point with the same speed at different angles\(\theta_{1}\) and \(\theta_{2}\) to the horizontal. If their respective times of flights are \(T_{1}\) and \(T_{2}\) and horizontal ranges are same then
a) \(\theta_{1}+\theta_{2}=\mathbf{9 0}^{0}\)
b) \(\mathbf{T}_{1}=\mathbf{T}_{2} \tan \theta_{1}\)
c) \(\mathrm{T}_{1}=\mathrm{T}_{2} \boldsymbol{\operatorname { t a n }} \theta_{2}\)
d) \(\mathbf{T}_{1} \sin \theta_{2}=\mathbf{T}_{2} \sin \theta_{1}\)

269843 Two bodies are projected at angles\(30^{\circ}\) and \(60^{\circ}\) to the horizontal from the ground such that the maximum heights reached by them are equal. Then
a) Their times of flight are equal
b) Their horizontal ranges are equal
c) The ratio of their initial speeds of projection is \(\sqrt{3}: 1\)
d) Both take same time to reach the maximum height.

269844 A body is projected with an initial speed of\(100 \sqrt{3} \mathrm{~ms}^{-1}\) at an angle of \(60^{\mathbf{0}}\) above the horizontal. if \(g=10 \mathrm{~ms}^{-2}\) then velocity of the projectile
a) Is perpendicular to it's acceleration at the instant \(t=15\) sec.
b) Is perpendicular to initial velocity of projection at \(t=20 \mathrm{sec}\).
c) Is minimum at the highest point
d) Changes both in magnitude and direction, during its flight.

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269841 A body is projected from a point with different angles of projections\(20^{\circ}, 35^{\circ}, 45^{0}, 60^{\circ}\) with the horizontal but with same initial speed. Their respective horizontal ranges are \(R_{1}, R_{2}, R_{3}\) and \(R_{4}\). Identify the correct order in which the horizontal ranges are arranged in increasing order

269842 Two particles are projected from the same point with the same speed at different angles\(\theta_{1}\) and \(\theta_{2}\) to the horizontal. If their respective times of flights are \(T_{1}\) and \(T_{2}\) and horizontal ranges are same then
a) \(\theta_{1}+\theta_{2}=\mathbf{9 0}^{0}\)
b) \(\mathbf{T}_{1}=\mathbf{T}_{2} \tan \theta_{1}\)
c) \(\mathrm{T}_{1}=\mathrm{T}_{2} \boldsymbol{\operatorname { t a n }} \theta_{2}\)
d) \(\mathbf{T}_{1} \sin \theta_{2}=\mathbf{T}_{2} \sin \theta_{1}\)

269843 Two bodies are projected at angles\(30^{\circ}\) and \(60^{\circ}\) to the horizontal from the ground such that the maximum heights reached by them are equal. Then
a) Their times of flight are equal
b) Their horizontal ranges are equal
c) The ratio of their initial speeds of projection is \(\sqrt{3}: 1\)
d) Both take same time to reach the maximum height.

269844 A body is projected with an initial speed of\(100 \sqrt{3} \mathrm{~ms}^{-1}\) at an angle of \(60^{\mathbf{0}}\) above the horizontal. if \(g=10 \mathrm{~ms}^{-2}\) then velocity of the projectile
a) Is perpendicular to it's acceleration at the instant \(t=15\) sec.
b) Is perpendicular to initial velocity of projection at \(t=20 \mathrm{sec}\).
c) Is minimum at the highest point
d) Changes both in magnitude and direction, during its flight.

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269841 A body is projected from a point with different angles of projections\(20^{\circ}, 35^{\circ}, 45^{0}, 60^{\circ}\) with the horizontal but with same initial speed. Their respective horizontal ranges are \(R_{1}, R_{2}, R_{3}\) and \(R_{4}\). Identify the correct order in which the horizontal ranges are arranged in increasing order

269842 Two particles are projected from the same point with the same speed at different angles\(\theta_{1}\) and \(\theta_{2}\) to the horizontal. If their respective times of flights are \(T_{1}\) and \(T_{2}\) and horizontal ranges are same then
a) \(\theta_{1}+\theta_{2}=\mathbf{9 0}^{0}\)
b) \(\mathbf{T}_{1}=\mathbf{T}_{2} \tan \theta_{1}\)
c) \(\mathrm{T}_{1}=\mathrm{T}_{2} \boldsymbol{\operatorname { t a n }} \theta_{2}\)
d) \(\mathbf{T}_{1} \sin \theta_{2}=\mathbf{T}_{2} \sin \theta_{1}\)

269843 Two bodies are projected at angles\(30^{\circ}\) and \(60^{\circ}\) to the horizontal from the ground such that the maximum heights reached by them are equal. Then
a) Their times of flight are equal
b) Their horizontal ranges are equal
c) The ratio of their initial speeds of projection is \(\sqrt{3}: 1\)
d) Both take same time to reach the maximum height.

269844 A body is projected with an initial speed of\(100 \sqrt{3} \mathrm{~ms}^{-1}\) at an angle of \(60^{\mathbf{0}}\) above the horizontal. if \(g=10 \mathrm{~ms}^{-2}\) then velocity of the projectile
a) Is perpendicular to it's acceleration at the instant \(t=15\) sec.
b) Is perpendicular to initial velocity of projection at \(t=20 \mathrm{sec}\).
c) Is minimum at the highest point
d) Changes both in magnitude and direction, during its flight.

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