Question

a car moving with uniform acceleration changes its volume from 36km/h to 108 km/h .in 15 sec find acceleration and distance travelled by car during this period​

Answer 1

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A car moving with uniform acceleration changes its volume from 36 km/h to 108 km/h .in 15 sec find acceleration and distance traveled by car during this period​ ?

$\huge \fbox{ \underline \blue{Answer }}$

To solve this problem let us write the given data 1st

GIVEN:

Time (t) = 15 sec

Initial Velocity (u) = 36 km/h

Final Velocity (v) = 108 km/hr

HINT:

In the question it is given that it is moving with uniform acceleration { means acceleration remains constant}

Also we need to convert speed from km/hr in terms of m/s

TO FIND:

[A]  Acceleration of the car

[B]  Distance traveled by the car

SOLUTION:

$\pink{ \boxed{[A] \: Acceleration\: of\: the\: car }}$

➠ v = u + at

Initial and final velocity should be converted in terms of m/s to do that we need to multiply given km/hr with $\dfrac{5}{18}$

u = 36 km/h = $\bcancel36*\dfrac{5}{\bcancel18}\ = 2\times 5 = 10\: m/s$

v = 108 km/h = $\bcancel108*\dfrac{5}{\bcancel18} \ = 6 \times 5 \ = 30 \ m/s$

t  = 15 sec

Let us substitute in the formula

➠ 30 = 10 + a(15)

➠ 30 = 10 + 15 a

➠  $\dfrac{3\cancel 0 }{1\cancel 0} = 15 a$

➠  $\dfrac{3}{15} = a$

➠ a = 0.2 m/s

Hence car would have traveled 0.2 m/s with its uniform acceleration

$\pink{ \boxed{[B] \: Distance \: traveled \:by \: the\: car }}$

S = ?

➠ v² = u² + 2as

➠  v² - u² = 2as

➠  $\dfrac{v² - u²}{2a}$ = S

➠  $\dfrac{30^{2} - 10^{2}}{2\times0.2 } = S$

➠ $\dfrac{900 -100}{0.4} = S$

➠ $\dfrac{800}{0.4} = S$

➠ $\dfrac{8000}{4} =S$

➠ S = 2000m

Hence car would have traveled distance of 2000m with this speed

$\underline{\underline{ \sf \huge \red{✪Extra Bytes✪}}}$

❆ Use the newtons 3 laws of motion according to given quantities and find the answers . They are,

❆ v = u + at  

❆ s = ut + 1/2 at²

❆ v² - u² = 2as

❆ Sn = u +  (2n -1) used to find time in nth seconds

❆ In case when distance and time are given use

❆ Speed = Distance / Time ❆

❆ With these formulas you can apply the given quantities and find the answers.

ℌope ℑt ℌelps

Thanks for asking:)