A particle moving, eastwards with a velocity of $5 m / s$ . In $10 s$ , its velocity changes to $5 m / s$ northwards. The average acceleration in this time is

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Answer 1

Initial velocity, $u = 5 m / s$ eastwards

Final velocity, $v = 5 m / s$ northwards

Now, change in the velocity $∣ △ v ∣ = v^{2} + u^{2} = 5^{2} + 5^{2} = 52$

And the direction of $△ v$ is given by

$t a n θ = \frac{v}{u} = \frac{- 5}{5} = - 1$ (taking east direction as positive)

$θ = - \frac{π}{4}$
Now, acceleration $a = \frac{△ v}{t} = \frac{5 2}{1 0} = \frac{1}{2} m / s^{2}$ in north-west direction.

Answer 2

Initial velocity,

u = 5 m / s

eastwards

Final velocity,

v = 5 m / s

northwards

Now, change in the velocity

∣ △ v ∣ = v^{2} + u^{2} = 5^{2} + 5^{2} = 52

And the direction of

△ v

is given by

t a n θ = \frac{v}{u} = \frac{- 5}{5} = - 1

(taking east direction as positive)

θ = - \frac{π}{4}

Now, acceleration

a = \frac{△ v}{t} = \frac{5 2}{1 0} = \frac{1}{2} m / s^{2}

in north-west direction.

A particle moving, eastwards with a velocity of $5 m / s$ . In $10 s$ , its velocity changes to $5 m / s$ northwards. The average acceleration in this time is

Zero

$\frac{1}{2} m / s^{2}$ towards north-west

$\frac{1}{2} m / s^{2}$ towards north-east

$\frac{1}{2} m / s^{2}$ towards north-west

A particle is moving eastward with velocity of $5 m s^{- 1}$ . In $10 s$ the velocity changes to $5 m s^{- 1}$ northward. The average acceleration in this time is

A van accelerate uniformly and its velocity changes from $5 m / s$ to $25 m / s$ in time t. Find its average velocity.

A particle is moving with velocity $5 m / s$ towards east and its velocity changes to $, m / s$ north in $10 s e c .$ Find the acceleration

A hot rod can accelerate from 0 to 60 km/h in 5.4 s.
What is its average acceleration, in m/s $_{2}$ , during this time?

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A particle moving, eastwards with a velocity of 5m/s. In 10s, its velocity changes to 5m/s northwards. The average acceleration in this time is

Zero

2​1​m/s2 towards north-west

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A particle is moving eastward with velocity of 5 ms−1. In 10 s the velocity changes to 5 ms−1 northward. The average acceleration in this time is

A van accelerate uniformly and its velocity changes from 5m/s to 25m/s in time t. Find its average velocity.

A particle is moving with velocity 5m/s towards east and its velocity changes to ,m/s north in 10sec. Find the acceleration

A hot rod can accelerate from 0 to 60 km/h in 5.4 s. What is its average acceleration, in m/s2​, during this time?

Revise with Concepts

Advanced Knowledge of Distance/Displacement - Time Graph

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A particle moving, eastwards with a velocity of $5 m / s$ . In $10 s$ , its velocity changes to $5 m / s$ northwards. The average acceleration in this time is

$\frac{1}{2} m / s^{2}$ towards north-west

$\frac{1}{2} m / s^{2}$ towards north-east

$\frac{1}{2} m / s^{2}$ towards north-west

A particle is moving eastward with velocity of $5 m s^{- 1}$ . In $10 s$ the velocity changes to $5 m s^{- 1}$ northward. The average acceleration in this time is

A van accelerate uniformly and its velocity changes from $5 m / s$ to $25 m / s$ in time t. Find its average velocity.

A particle is moving with velocity $5 m / s$ towards east and its velocity changes to $, m / s$ north in $10 s e c .$ Find the acceleration

A hot rod can accelerate from 0 to 60 km/h in 5.4 s.
What is its average acceleration, in m/s $_{2}$ , during this time?