A projectile is projected with speed u at an angle θ with horizontal. average velocity of projectil

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3-2.Motion in Plane

easy

A projectile is projected with speed $u$ at an angle $\theta$ with the horizontal. The average velocity of the projectile between the instants it crosses the same level is ............

A$u \cos \theta$

B$u \sin \theta$

C$u \cot \theta$

D$u \tan \theta$

Solution

(a)
displacement $= x = u \cos \theta \times t$
time $= t$
$\therefore v _{\text {avg }}=\frac{ x }{ t }=\frac{ u \cos \theta \times t }{ t }= u \cos \theta$

Standard 11

Physics

A particle is projected with a velocity of $30\,m / s$, at an angle of $\theta_0=\tan ^{-1}\left(\frac{3}{4}\right)$ After $1\,s$, the particle is moving at an angle $\theta$ to the horizontal, where $\tan \theta$ will be equal to $\left(g=10\,m / s ^2\right)$

hard

An object is projected in the air with initial velocity $u$ at an angle $\theta$. The projectile motion is such that the horizontal range $R$, is maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the case. The value of the angle of projection, at which the second object is projected, will be $…….$ degree.

medium

(JEE MAIN-2022)

If time of flight of a projectile is $10$ seconds. Range is $500$ meters. The maximum height attained by it will be ……… $m$

medium

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

medium

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 $\%$)

medium

(AIIMS-2019)

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 projected with speed $u$ at an angle $\theta$ with the horizontal. The average velocity of the projectile between the instants it crosses the same level is ............

Solution

Similar Questions

A particle is projected with a velocity of $30\,m / s$, at an angle of $\theta_0=\tan ^{-1}\left(\frac{3}{4}\right)$ After $1\,s$, the particle is moving at an angle $\theta$ to the horizontal, where $\tan \theta$ will be equal to $\left(g=10\,m / s ^2\right)$

If time of flight of a projectile is $10$ seconds. Range is $500$ meters. The maximum height attained by it will be ……… $m$

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 $\%$)

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