You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Projectile from a Height

A projectile ...

Question

A projectile shot at an angle of $45^{o}$ above the horizontal strikes a building 30 m away at a point 15 m above the point of projection. Find : (a) the speed of projection. (b) the magnitude and direction of velocity of projectile when it strikes the building

Open in App

Solution

$y = x t a n θ_{o} - \frac{1}{2} \frac{8}{{u_{o}}^{2} c o s^{2} θ_{o}} x^{2}_____(1)$

$v^{2} = u^{2} - 2 g h$

Vertical component of velocity

${V_{x}}^{2} = [14 \sqrt{3} \times s i n 45]^{2} - 2 \times 9.8 \times 15$

$= 0$

We have only horizontal component

$V_{y} = 14 \sqrt{3} c o s 45$

$= 17.15 m s^{- 1}$ (IMAGE)

Suggest Corrections

Similar questions

Q. A projectile shot at an angle of

45^{o}

above the horizontal strikes the wall of a building

30 m

away at a point

15 m

above the point of projection. Initial velocity of the projectile is
(take

g = 9.8 m / s^{2}

)

Q. Find the velocity of a projectile at the highest point, if it is projected with a speed

15

s^{- 1}

, in the direction

45^{o}

above horizontal. [take

g = 10 m s^{- 2}

]

Q. A body is thrown with a velocity of

20 m s^{- 1}

from a building of height

15 m

. If the angle of projection is

30^{\circ}

above the horizontal, the time of flight and the range of the projectile are respectively.
(Take

g = 10 m / s^{2}

)

Q. A projectile is projected with speed

u

at an angle

30^{o}

from the ground. The angle between acceleration of projectile and its velocity at time of striking the horizontal ground is

A projectile is thrown with velocity 50m/s towards an inclined plane from ground such that it strikes the inclined plane perpendicular. The angle of projection of projectile is 53° with the horizontal and inclined plane is inclined at an angle of 45° to the horizontal. Find (a) time of flight (b) the distance between the point of projection and the foot of inclined plane.

Join BYJU'S Learning Program

A projectile shot at an angle of 45o above the horizontal strikes a building 30 m away at a point 15 m above the point of projection. Find : (a) the speed of projection. (b) the magnitude and direction of velocity of projectile when it strikes the building

y=xtanθo−128uo2cos2θox2_____(1) v2=u2–2gh Vertical component of velocity Vx2=[14√3× sin45]2–2×9.8×15 =0 We have only horizontal component Vy=14√3 cos45 =17.15ms−1 (IMAGE)

A projectile shot at an angle of $45^{o}$ above the horizontal strikes a building 30 m away at a point 15 m above the point of projection. Find : (a) the speed of projection. (b) the magnitude and direction of velocity of projectile when it strikes the building