Question

Q6. (a) A car accelerates at a constant rate of 1.83 m/s2 along a fiat straight road. The car
accelerates from rest for 16 seconds. Calculate the speed of the car after 16 seconds​

Answer 1

Question:

A car accelerates at a constant rate of 1.83 m/s2 along a fiat straight road. The car

accelerates from rest for 16 seconds. Calculate the speed of the car after 16 seconds

Given :

• acceleration of the car = 1.83 m/s²
• initial velocity of the car = 0 m/s²
• time taken = 16 sec

To find :

• final velocity of the car

Solution :

By using the first kinematic equation ,

$\bigstar \: \large{ \boxed{ \green{v = u + at}}}$

here ,

• v = final velocity
• u = initial velocity
• a = acceleration
• t = time taken

Substituting the given values in the above equation we get ,

$\rightarrow \large\mathtt{v = at}$

$\rightarrow \large\mathtt{v = 1.83 \times 16}$

$\rightarrow \large\mathtt{v = 29.28 \frac{m}{s} }$

The speed of the car after 16 second is 29.28 m/s

Other formulas :

$\bigstar \: \large{ \blue{s = ut + \dfrac{1}{2}a {t}^{2} }}$

$\bigstar \: \large{ \blue{ {v}^{2} = {u}^{2} + 2as}}$

$\bigstar \: \large{ \blue{s = u + \dfrac{a}{2} (2n - 1)}}$

Answer 2

Question:

A car accelerates at a constant rate of 1.83 m/s2 along a fiat straight road. The car

accelerates from rest for 16 seconds. Calculate the speed of the car after 16 seconds

Given :

acceleration of the car = 1.83 m/s²

initial velocity of the car = 0 m/s²

time taken = 16 sec

To find :

final velocity of the car

Solution :

By using the first kinematic equation ,

$\bigstar \: \large{ \boxed{ \green{v = u + at}}}$

Here ,

v = final velocity

u = initial velocity

a = acceleration

t = time taken

Substituting the given values in the above equation we get ,

$\rightarrow \large\mathtt{v = at}$

$\rightarrow \large\mathtt{v = 1.83 \times 16}$

$\rightarrow \large\mathtt{v = 29.28 \frac{m}{s} }$

The speed of the car after 16 second is 29.28 m/s

Other formulas :

$\bigstar \: \large{ \blue{s = ut + \dfrac{1}{2}a {t}^{2} }}$

$\bigstar \: \large{ \blue{ {v}^{2} = {u}^{2} + 2as}}$

$\bigstar \: \large{ \blue{s = u + \dfrac{a}{2} (2n - 1)}}$