A ball is thrown with velocity u → = ( 3 i ^ + 4 j ^ ) m s - 1 towards a wall, where it hits at height h 1 at time t 1 after the launch. Another ball is projected from same point with velocity u → = ( 3 i ^ + 5 j ^ ) m s - 1 towards the wall where it hits at height h 2 at time t 2 after the launch. Then

No assertion can be made for h 1 and h 2

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Equation of trajectory of a projectile is given as $y = x - \frac{x^{2}}{40} .$ The radius of curvature at highest point of its trajectory is [Take, $g = 10 m s^{- 2}$ ]

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Important Questions on Motion in a Plane

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 17

Position vector of a particle moving in a plane is given by

\vec{r} = (t^{2} - 38 t) \hat{i} + 2 t^{3} \hat{j} .

The instant when velocity and acceleration of the particle are perpendicular to each other is

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 1

The figure shows three paths for a ball projected from ground level. Ignore the effects of air on flight. Which of the following statements is correct?

Question Image

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 2

Two particles are projected from same point with same initial speed

u

at angles of projection

α

and

β . t_{1}

and

t_{2}

are their respective time of flights and

h_{1}

and

h_{2}

are their respective maximum heights. If they strike the horizontal ground at same point having range

R,

then

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 3

Figure shows the path of a projectile thrown near the surface of earth in the absence of air resistance.

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If the air resistance is taken into consideration, then

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 4

A projectile has the same range

R

for two angles of projections. If

T_{1}

and

T_{2}

be the times of flight in the two cases, then (using

θ

as the angle of projection corresponding to

T_{1}

)

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 5

A ball is thrown with velocity $\vec{u} = (3 \hat{i} + 4 \hat{j}) m s^{- 1}$ towards a wall, where it hits at height $h_{1}$ at time $t_{1}$ after the launch.

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Another ball is projected from same point with velocity $\vec{u} = (3 \hat{i} + 5 \hat{j}) m s^{- 1}$ towards the wall where it hits at height $h_{2}$ at time $t_{2}$ after the launch. Then

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 6

The equation of trajectory of a projectile thrown from a level ground near the surface of earth is given by

y = a x - b x^{2},

with

y

axis in vertical direction and

x

-axis in horizontal direction.

a

and

b

are constants. Then

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 7

Two particles are projected from the same point, with the same speed, in the vertical plane, at different angles with the horizontal. A frame of reference is fixed to one particle. The position vector of the other particle, as observed from this frame is

\vec{r} .

Then

Equation of trajectory of a projectile is given as y=x-x240. The radius of curvature at highest point of its trajectory is [Take, g=10 m s-2 ]

Important Questions on Motion in a Plane

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Equation of trajectory of a projectile is given as $y = x - \frac{x^{2}}{40} .$ The radius of curvature at highest point of its trajectory is [Take, $g = 10 m s^{- 2}$ ]