A cart is moving horizontally along a straight line with a constant speed of $30\,m / s$. A projectile is to be fired from the moving cart in such a way that it will retum to the cart (at the same point on cart) after the cart has moved $80\,m$. At what velocity (relative to the cart) must be projectile be fired? (Take $=10\,m / s ^2$ )
A cart is moving horizontally along a straight line with a constant speed of $30\,m / s$. A projectile is to be fired from the moving cart in such a way that it will retum to the cart (at the same point on cart) after the cart has moved $80\,m$. At what velocity (relative to the cart) must be projectile be fired? (Take $=10\,m / s ^2$ )
- A
$10\,m/s$
- B
$\frac{20}{3}\,m/s$
- C
$\frac{40}{3}\,m/s$
- D
$\frac{80}{3}\,m/s$
Similar Questions
The angle of projection at which the horizontal range and maximum height of projectile are equal is
The angle of projection at which the horizontal range and maximum height of projectile are equal is
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 |
Two projectiles $A$ and $B$ are thrown with the same speed but angles are $40^{\circ}$ and $50^{\circ}$ with the horizontal. Then
Two projectiles $A$ and $B$ are thrown with the same speed but angles are $40^{\circ}$ and $50^{\circ}$ with the horizontal. Then
The maximum height reached by a projectile is $64 \mathrm{~m}$. If the initial velocity is halved, the new maximum height of the projectile is_________.$\mathrm{m}$.
The maximum height reached by a projectile is $64 \mathrm{~m}$. If the initial velocity is halved, the new maximum height of the projectile is_________.$\mathrm{m}$.
- [JEE MAIN 2024]
Particle is dropped from the height of $20\,\,m$ from horizontal ground. There is wind blowing due to which horizontal acceleration of the particle becomes $6 ms^{^{-2}}$. Find the horizontal displacement of the particle till it reaches ground. ........ $m$
Particle is dropped from the height of $20\,\,m$ from horizontal ground. There is wind blowing due to which horizontal acceleration of the particle becomes $6 ms^{^{-2}}$. Find the horizontal displacement of the particle till it reaches ground. ........ $m$