MyQuestionIcon

1

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

Relative Velocity

A particle is...

Question

A particle is projected upwards from the roof of a tower $60 m$ high with velocity $20 m / s$ . Find the average speed .

Open in App

Solution

$u = 20 m / s - 60 = 20 t - \frac{1}{2} g t^{2} = 20 t - 5 t^{2} (from second equation of motion) \Rightarrow t^{2} - 4 t - 12 = 0 \Rightarrow t = 6, - 2 t = 6 i s t h e t i m e t i l l t h e s t o n e r e a c h e s g r o u n d . d i s t a n c e c o v e r e d = 60 + 2 \times \frac{u^{2}}{2 g} = 60 + 40 = 100 a v e r a g e s p e e d = \frac{100}{6} = \frac{50}{3} m / s$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A particle is projected vertically up from the top of a tower with velocity 10m/s. It reaches the ground in 5s . Find-
a) Height of tower
b)Striking velocity of particle at ground
c)Distance traversed by particle
d)Average speed & average velocity of particle

Q. Two particles

A

B

are projected simultaneously from the top of two towers of height

10 m

20 m

respectively. Particle

A

is projected upwards at an angle of

45^{\circ}

with horizontal at a speed of

10 \sqrt{2} m/s

B

is projected horizontally at a speed of

10 m/s

A

. What is the distance between towers if particles collide in the air ?Take

g = 10 {m/s}^{2}

.

Q. A particle is projected upwards at an angle

θ = 45^{\circ}

with horizontal from the top of a tower

10 m

high. Assume the origin is situated at the bottom of the tower and the speed at which the particle is projected is

40 \sqrt{2} m/s

. Find the equation of trajectory of the particle.

Q. A particle projected at some angle with velocity

50 m / s

20 m

high wall, after

4 s

from the time of projection. The angle of projection of the particle is ?

Q. A particle is projected vertically upwards with a velocity

u

from a point O. When it returns to the point of projection:

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Relative Motion

PHYSICS

Watch in App

explore_more_icon

Explore more

Relative Velocity

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon