CameraIcon

SearchIcon

MyQuestionIcon

1

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

Global Maxima

A particle mo...

Question

A particle moves on a line according to the law $s = a t^{2} + b t + c .$ If the displacement after one second is $16$ cm, the velocity after $2$ seconds is $24$ cm/sec and the acceleration is $8$ cm/sec $^{2},$ then $(a, b, c)$

A

(4, 8, 4)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

(4, 4, 8)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

(8, 4, 4)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

(8, 8, 4)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $(4, 8, 4)$
We have,
$s = a t^{2} + b t + c$
when $t = 1, a + b + c = 16$
$v = \frac{d s}{d t} = 2 a t + b$
when $t = 2, 4 a + b = 24$
acceleration $= \frac{d v}{d t} = 2 a = 8 \Rightarrow a = 4, b = 8, c = 4$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A particle moves on a line according to the law

s = a t^{2} + b t + c

. If the displacement after

1

16

cm, the velocity after

2

24

cm/sec and acceleration is

8 c m / s e c^{2}

Q. A particle is moving in a straight line so that after

t

seconds its distance is

s (in c m s)

from a fixed point on the line is given by

s = f (t) = 8 t + t^{3}

.Find:
1.the velocity at time

t = 2 sec

2.the initial velocity
3.acceleration at

t = 2 s e c

Q. A particle moves in a circle of radius

3.5 cm

at a speed given by

v = 8 t

v

cm/s

t

in seconds. Find the tangential acceleration at

t = 2 s

{cm/s}^{2})

Q. A particle is moving along a straight-line path according to the relation

S^{2} = a t^{2} + 2 b t + c

S

represents the displacement covered in t seconds and

a, b, c

are constants. The acceleration of the particle varies as

a = (3 t^{2} + 2 t + 1) m / s^{2}

is the expression according to which the acceleration of a particle moving along a straight line varies, then find displacement of the particle 2 seconds after starting.

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon