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

Instantaneous Velocity

The motion of...

Question

The motion of a particle is described by the equation $x = a + b t^{2}$ where $a = 15 c m$ and $b = 3 c m s^{2}$ . Its instantaneous velocity at time $3 s$ will be

36 c m / s

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

18 c m / s

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

16 c m / s

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

12 c m / s

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

Open in App

Solution

The correct option is B $18 c m / s$
The motion of the particle is described by the equation
$x = a + b t^{2}$
where, $a = 15 c m$
$b = 3 c m$
velocity, $v = \frac{d x}{d t}$
$v |_{t = 3 s e c} = 2 b t = 2 \times 3 \times 3$
$v |_{t = 3 s e c} = 18 c m / s$
The correct option is B.

Suggest Corrections

Similar questions

The motion of a particle is described by the equation X = at + bt² , where a= 15cm s^-1 and b =3cm s^-2. Its instantaneous velocity at t= 3 s will be ______ CM s^-1.

Q. The motion of a particle is described by the equation x = at +

b t^{2}

, where a = 15 cm

s^{- 1}

and b = 3 cm

s^{- 2}

. Its instantanous velocity at t = 3 s will be

Q. A particle moves according to the equation

x = 2 t^{2} - 5 t + 6

where,

x

is in

m

. Find

(i)

average velocity in the first

3 s

, and

(i i)

instantaneous velocity at

t = 3 s

Q. The motion of a particle along a straight line is described by equation

x = 8 + 12 t - t^{3}

, where, x is in meter and t is in second. The retardation of the particle when its velocity becomes zero, is

Q. A particle's motion is given by

s = a (t + b (e^{(- \frac{t}{b})} - 1))

, where (

s

is in metre,

a

and

b

are constants and

t

is in sec). What will be the instantaneous speed of the particle at

t = \infty

Join BYJU'S Learning Program

The motion of a particle is described by the equation x=a+bt2 where a=15cm and b=3cms2. Its instantaneous velocity at time 3s will be

The correct option is B 18cm/sThe motion of the particle is described by the equation x=a+bt2where, a=15cmb=3cmvelocity, v=dxdtv|t=3sec=2bt=2×3×3v|t=3sec=18cm/sThe correct option is B.

The motion of a particle is described by the equation $x = a + b t^{2}$ where $a = 15 c m$ and $b = 3 c m s^{2}$ . Its instantaneous velocity at time $3 s$ will be

The correct option is B $18 c m / s$
The motion of the particle is described by the equation
$x = a + b t^{2}$
where, $a = 15 c m$
$b = 3 c m$
velocity, $v = \frac{d x}{d t}$
$v |_{t = 3 s e c} = 2 b t = 2 \times 3 \times 3$
$v |_{t = 3 s e c} = 18 c m / s$
The correct option is B.