Question

Time in
2. A car accelerates for 6 sec. The velocity of the car increases from 15 m/s to 24 m/s. Calculate the acceleration
of the car​

Answer 1

Answer:

Calculating acceleration involves dividing velocity by time — or in terms of SI units, dividing the meter per second [m/s] by the second [s]. Dividing distance by time twice is the same as dividing distance by the square of time. Thus the SI unit of acceleration is the meter per second squared .

Explanation:

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Answer 2

Given:

• Time = t =6sec
• Initial velocity = u = 15m/s
• Final velocity = v = 24m/s

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Need to find:

• Acceleration = a =?

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Solution:

From first equation of motion we know,

v= u + at

$\implies \: 24 = 15 + a \times 6$

$\implies \: 6a = 24 - 15$

$\implies \: a = \dfrac{9}{6} m {sec}^{2}$

$\implies \: a = \dfrac{3}{2} m {sec}^{2}$

$\bold{\red{\boxed{\large{ \implies \: a = 1.5 \: m {sec}^{2}}}}}$

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Knowledge cell:

• Equations of motion describe the behavior of a physical system in terms of its motion as a function of time.

• Equations of motion were given by Newton, thus they are also known as Newton's Laws of motion.

• There are three equations of motion.

1st Equation of motion:

• v= u+ at

2nd Equation of motion:

• $s = ut + \dfrac{1}{2} a {t}^{2}$

3rd Equation of motion:

• ${v}^{2} - {u}^{2} = 2as$

Where,

• v= Final velocity
• u= initial velocity
• t= time taken
• s= displacement
• a = acceleration.