Question

What is the acceleration of a skier that slows down from 18 m/s to 9 m/s in 3 seconds?

Answer 1

Answer:

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Answer 2

Given :

• Intial Velocity of skier

• = 18 m/s

• Final Velocity of skier

• = 9 m/s

Time Taken :

• = 3 seconds

To Find :

• Acceleration = ?

Solution :

• How to Solve ?

• Learn first what is acceleration and what is the formula of acceleration.

Acceleration :

• Velocity per unit time or rate of velocity respect to time,in terms of both speed and direction is called Acceleration .

• The S.I unit of acceleration is m / s ²

• An object is said to be accelerated if there is a change in its velocity.

• Because of Acceleration there is change in the velocity of an object and there could be an increase or decrease in speed or a change in the direction of motion.

• There is change in velocity and time of skier so there is a change in direction of a moving object (skier) or an increase or decrease in speed due to this acceleration occurs.

Formula used :

• The formula of acceleration is ⇩

${:\implies{\sf{ Acceleration = \dfrac{ = Final \:Velocity - Initial \: velocity}{Time} }}}$

${:\implies{\sf{ Acceleration = \dfrac{ =Change \: in \: Velocity }{Time} }}}$

${:\implies{\sf{ Acceleration = \dfrac{ v \: f - v \: i }{t} }}}$

Place the given value in Formula :

Where,

• a is the acceleration in m.s-²

• v f is the final velocity in m.s-¹

• vi is the initial velocity in m.s-¹

• t is the time interval in seconds

${:\implies{\sf{ Acceleration = \dfrac{ 9- 18}{3} }}}$

${:\implies{\sf{ Acceleration = \dfrac{ - 9}{3} }}}$

${:\implies{\bf{ Acceleration = -3 \: m/ {s}^{2} }}}$

Therefore

• The acceleration of skier is

$\large{ \underline{ \boxed{ \rm{ \purple{3 m / s² ❞}}}}}$