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Answer 1

Answer :-

• Acceleration is 2.5 m/s².

Explanation :-

Given :-

A car is miving in a straight line from rest and travels at a distance of 20 m in 4 seconds with constant acceleration.

Required to Find :-

Acceleration - ?

Equations used :-

Second equation of Motion :

s = ut + ½ at²

[ Where, a is acceleration ]

Solution :-

$\displaystyle{\bf{\implies \: s =ut + \frac{1}{2} \: at^{2}}}$

Putting, the values of s, u and the in the formula,

$\displaystyle{\bf{\implies \: 20 = 0 \times 4 + \frac{1}{2}\times a \times (4)^{2}}}$

$\displaystyle{\bf{\implies \: 20 = 0 + \frac{1}{2} \times a \times 16}}$

• Multiplying the terms ( a and 16 = 16a )

$\displaystyle{\bf{\implies \: 20 = \frac{1}{2} \times 16a}}$

$\displaystyle{\bf{\implies \: 20 = \frac{16a}{2}}}$

• Taking 2 to L.H.S.

$\displaystyle{\bf{\implies \: 20 \times 2 = 16a}}$

• Multiplying 20 and 2 = 40

$\displaystyle{\bf{\implies \: 40 = 16a}}$

$\displaystyle{\bf{\implies \:\frac{\cancel{40}^{2.5}}{\cancel{16}^{1}} = a}}$

• Dividing 40 by 16

$\displaystyle{\bf{\implies \: \pink{2.5} = a }}$

Hence,

• Acceleration is 2.5 m/s².

Knowledge Bytes :-

➵ The rate of change if velocity with respect to time is called acceleration.

➵ Velocity is the speed at which something moves in one direction.

➵ Pressure is the force acting on a unit area of the object.

➵ SI unit of measuring pressure is 'newtons per square metre' (N/m²) which is also called as pascals (Pa).

Answer 2

QUESTION:-

A car is moving in a straight line from rest and travels a distance 20 m in 4 s with constant acceleration. Calculate this acceleration.

EXPLANATION:-

• Initial velocity(u)= 0 m/s     (The car starts from rest)
• Distance(S)=20 m
• Time(t)=4 s
• Acceleration(a)= ??

Using the 2nd eqⁿ of kinematics we have-:

$\longrightarrow \boxed{\tt\;S=ut+\frac{1}{2}at^2}$

Where ,

S=Distance(Displacement)

u=initial velocity

t=times

a=acceleration .

Putting values

$\tt\;20=0\times4+\frac{1}{2}a(4)^2\\\\\\\tt\;20=\frac{1}{2}a\times16\\\\\\\tt\;20=\frac{1}{\not{2}}a\times\not{16}\\\\\\\tt\;20=8a\\\\\\\tt\;a=\frac{20}{8}\\\\\\tt\;a= \not{\frac{20}{8}\\\\\\\boxed{\tt\;a=2.5\;m/s^2}$

So the acceleration is 2.5 m/s²

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