A projectile is launched at an angle ' $\alpha$ ' with the horizontal with a velocity $20 \; ms ^{-1}$. After $10 s$, its inclination with horizontal is ' $\beta$ '. The value of $\tan \beta$ will be : $\left( g =10 \; ms ^{-2}\right)$
A projectile is launched at an angle ' $\alpha$ ' with the horizontal with a velocity $20 \; ms ^{-1}$. After $10 s$, its inclination with horizontal is ' $\beta$ '. The value of $\tan \beta$ will be : $\left( g =10 \; ms ^{-2}\right)$
- [JEE MAIN 2022]
- A
$\tan \alpha+5 \sec \alpha$
- B
$\tan \alpha-5 \sec \alpha$
- C
$2 \tan \alpha-5 \sec \alpha$
- D
$2 \tan \alpha+5 \sec \alpha$
Similar Questions
A particle is projected from ground with velocity $u$ at angle $\theta$ from horizontal. Match the following two columns.
Column $I$
Column $II$
$(A)$ Average velocity between initial and final points
$(p)$ $u \sin \theta$
$(B)$ Change in velocity between initial and final points
$(q)$ $u \cos \theta$
$(C)$ Change in velocity between initial and final points
$(r)$ Zero
$(D)$ Average velocity between initial and highest points
$(s)$ None of the above
A particle is projected from ground with velocity $u$ at angle $\theta$ from horizontal. Match the following two columns.
| Column $I$ | Column $II$ |
| $(A)$ Average velocity between initial and final points | $(p)$ $u \sin \theta$ |
| $(B)$ Change in velocity between initial and final points | $(q)$ $u \cos \theta$ |
| $(C)$ Change in velocity between initial and final points | $(r)$ Zero |
| $(D)$ Average velocity between initial and highest points | $(s)$ None of the above |
A ball is projected with a velocity, $10 ms ^{-1}$, at an angle of $60^{\circ}$ with the vertical direction. Its speed at the highest point of its trajectory will be$............... ms ^{-1}$
A ball is projected with a velocity, $10 ms ^{-1}$, at an angle of $60^{\circ}$ with the vertical direction. Its speed at the highest point of its trajectory will be$............... ms ^{-1}$
- [NEET 2022]
Two stones are projected with the same speed but making different angles with the horizontal. Their ranges are equal. If the angle of projection of one is $\pi /3$ and its maximum height is $h_1$ then the maximum height of the other will be
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A body of mass $m$ is thrown upwards at an angle $\theta$ with the horizontal with velocity $v$. While rising up the velocity of the mass after $ t$ seconds will be
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A stone is projected from a point on the ground so as to hit a bird on the top of a vertical pole of height $h$ and then attain a maximum height $2 h$ above the ground. If at the instant of projection the bird flies away horizontally with a uniform speed and if the stone hits the bird while descending, then the ratio of the speed of the bird to the horizontal speed of the stone is
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