Question

A body starting from rest travels with uniform acceleration . If it travels 100 m in 5 seconds , what is the acceleration

Answer 1

acceleration is 8m/s²... apply second equation of motion

hope so it helps you

Answer 2

$\bf{\underline{Given}}:-$

• Distance (s) = 100 m

• Time (t) = 5 sec

• Initial velocity (u) = 0m/s

$\bf{\underline{To\:Find}}:-$

• Acceleration (a) = ?

$\bf{\underline{Solution}}:-$

By using second equation of motion,

Putting all the values in second equation of motion,

⤇ $\rm\:s=ut+\dfrac{1}{2}a{t}^{2}$

⤇ $\rm\:100=0\times{5}+\dfrac{1}{2}\times{a}\times{(5)}^{2}$

⤇ $\rm\:100=0\times{5}+\dfrac{1}{2}\times{a}\times{5}\times{5}$

⤇ $\rm\:100=0+\dfrac{25}{2}\times{a}$

⤇ $\rm\:100\times{2}=25a$

⤇ $\rm\:200=25a$

⤇ $\rm\cancel\dfrac{200}{25}=a$

⤇ $\rm\:8=a$

⤇ $\rm\:a=8\:m/{s}^{2}$

Hence,the acceleration will be 8 m/s².

More Information,

⤇ Acceleration :- It is defined as the rate of change of velocity with respect to time.

• SI unit of acceleration is m/s².
• CGS unit of acceleration is cm/s².
• It is a vector quantity.
• It may be positive negative and zero.