Question

excuse me can u all help me​

Answer 1

$\maltese\:\underline{\underline{\textsf{\textbf{AnsWer :}}}}\:\maltese$

We're asked to find the velocity and speed of the Rahul but before finding velocity and speed we need to find the distance and displacement.

Rahul Rahul travels 2 km towards east and 3 km towards north and again travel's towards east therefore the distance travelled by the Rahul is :

$\longrightarrow\:\rm Distance = 2 + 3 + 2$

$\longrightarrow\: \underline{ \underline{\rm Distance = 7\: km}}$

Now, we know that Displacement is the shortest distance travelled by the body from initial point to the final point. By applying Pythagoras theorem we can calculate the displacement [See the third attachment]

$\longrightarrow\:\rm (AD) ^{2} = (AB + BC)^2+ (DC)^2$

$\longrightarrow\:\rm (AD)^{2} = (2 + 2)^{2} +( 3)^2$

$\longrightarrow\:\rm (AD)^{2} = 16 +9$

$\longrightarrow\:\rm (AD)^{2} = 25$

$\longrightarrow\:\rm AD = \sqrt{25}$

$\longrightarrow\: \underline{ \underline{\rm AD = 5 \: km }}$

Now, let's find the speed of the Rahul by using given below formula :

$\longrightarrow\:\sf Speed = \dfrac{Distance}{Time}$

$\longrightarrow\:\sf Speed = \dfrac{7}{45 \: min}$

By converting the time from minutes to hours we have :

$\longrightarrow\:\sf Speed = \dfrac{7}{0.75\: h}$

$\longrightarrow\: \underline{ \underline{\sf Speed = 9.34\: km/h}}$

Now, let's find the velocity of the Rahul :

$\longrightarrow\:\sf Velocity = \dfrac{Displacement}{Time}$

$\longrightarrow\:\sf Velocity = \dfrac{5}{0.75}$

$\longrightarrow\: \underline{ \underline{\sf Velocity = 6.7 \: km/h}}$