The position of a projectile launched from the origin at $t = 0$ is given by $\vec r = \left( {40\hat i + 50\hat j} \right)\,m$ at $t = 2\,s$. If the projectile was launched at an angle $\theta$ from the horizontal, then $\theta$ is (take $g = 10\, ms^{-2}$)
The position of a projectile launched from the origin at $t = 0$ is given by $\vec r = \left( {40\hat i + 50\hat j} \right)\,m$ at $t = 2\,s$. If the projectile was launched at an angle $\theta$ from the horizontal, then $\theta$ is (take $g = 10\, ms^{-2}$)
- [JEE MAIN 2014]
- A
${\tan ^{ - 1}}\frac{2}{3}$
- B
${\tan ^{ - 1}}\frac{3}{2}$
- C
${\tan ^{ - 1}}\frac{7}{4}$
- D
${\tan ^{ - 1}}\frac{4}{5}$
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 projectile is fired at $30^{\circ}$ to the horizontal, The vertical component of its velocity is $80 \;ms ^{-1}$, Its time flight is $T$. What will be the velocity of projectile at $t =\frac{ T }{2}$?
A projectile is fired at $30^{\circ}$ to the horizontal, The vertical component of its velocity is $80 \;ms ^{-1}$, Its time flight is $T$. What will be the velocity of projectile at $t =\frac{ T }{2}$?
The velocity of projection of a body is increased by $2 \% .$ Other factors remaining unchanged, what will be the percentage change in the maximum height attained ? (in $\%$)
The velocity of projection of a body is increased by $2 \% .$ Other factors remaining unchanged, what will be the percentage change in the maximum height attained ? (in $\%$)
- [AIIMS 2019]
Neglecting the air resistance, the time of flight of a projectile is determined by
Neglecting the air resistance, the time of flight of a projectile is determined by
Which one of the following statements is not true about the motion of a projectile?
Which one of the following statements is not true about the motion of a projectile?