MyQuestionIcon

1

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

Variation of G Due to the Rotation of Earth

22.The positi...

Question

22.The position of a particle moving along an x-axis is given by x = 6.00 t² – 3.00 t³, where x is in meters and t is in seconds. What is the acceleration of the particle at its maximum x-position? A) – 12.0 m/s² B) 15.1 m/s² C) – 11.2 m/s² D) 9.51 m/s² E) –19.5 m/s²

Open in App

Solution

Suggest Corrections

thumbs-up

0

Similar questions

Two particles move along x axis. the position of particle 1 is given by x = 6.00 $t^{2}$ + 3.00t + 2.00 (in meters and seconds); the acceleration of particle 2 is given by a = -8.00t ( in meters per second squared and seconds) and, at t = 0, its velocity is 19 m/s. When the velocities of the particles match, what is their velocity?

Q. The position of a particle moving along the

x

axis varies in time according to the expression

x = 3 t^{2}

x

is in meters and

t

is in seconds. Evaluate its position (a) at

t = 3.00 s

3.00 s + Δ t

. (c) Evaluate the limit of

Δ x / Δ t

Δ t

approaches zero to find the velocity at

t = 3.00 s

.

Q. The position of a particle along along x-axis is given by

x = a + b t^{2}

, where a= 8.5 m, b = 2.5 m and

t

is in seconds. What is its average velocity at t = 2.0 s? What will be its average velocity between

t = 2 s

t = 4 s

Q. For a particle moving along

x

- axis, the acceleration

a

of the particle in terms of its

x

- coordinate is given by

a = - 9 x

x

is in meters and

a

{m/s}^{2}

. Take acceleration, velocity and displacement in positive

x

- direction as positive. The initial velocity of particle at

x = 0

u = + 6 m/s

. The maximum distance of the particle along the positive

x

-direction from origin will be

Q. For a particle moving along

x

- axis, the acceleration

a

of the particle in terms of its

x

- coordinate is given by

a = - 9 x

x

is in meters and

a

{m/s}^{2}

. Take acceleration, velocity and displacement in positive

x

- direction as positive. The initial velocity of particle at

x = 0

u = + 6 m/s

. The maximum distance of the particle along the positive

x

-direction from origin will be

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Variation in g

PHYSICS

Watch in App

explore_more_icon

Explore more

Variation of G Due to the Rotation of Earth

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon