Question

A race car accelerates uniformly from 10 m/s to 50 m/s in 4 seconds. Determine the acceleration of the car.

Answer 1

Explanation:

refer to the photo uploaded ..........

Answer 2

Given :

• Initial Velocity = 10m/s
• Final Velocity = 50m/s
• Time Taken = 4 sec

To Find :

• Acceleration of the car.

Solution :

For Acceleration :

Using 1st Equation :

$\longmapsto\tt\boxed{v=u+at}$

Putting Values :

$\longmapsto\tt{50=10+a(4)}$

$\longmapsto\tt{50-10=4a}$

$\longmapsto\tt{40=4a}$

$\longmapsto\tt{a=\cancel\dfrac{40}{4}}$

$\longmapsto\tt\bold{a=10{m/s}^{2}}$

So , The Acceleration of the Car is 10m/s²..

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Three Equations of Motion :

• v = u + at
• s = ut + 1/2 at²
• v² - u² = 2as

Here :

• u = Initial Velocity
• v = Final Velocity
• a = Acceleration
• s = Distance
• t = Time Taken

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