Question

In the diagram a man travels east from his position (3 km) and then north as shown in the diagram (4 km). The distance travelled and displacement suffered by the boy will be:

Answer 1

Answer:

Required option will be (4) 7m & 5m respectively .

Explanation:

According to the Question

It is given that man travels east from his position (3 km) and then north as shown in the diagram (4 km).

we need to calculate the distance travelled by man and displacement of suffered by the boy.

using the above diagram .

Calculating the distance travelled .

we calculate the total distance covered by the boy by adding all the given distance .

➻ Total Distance travelled = 3+4

➻ Total Distance travelled = 7m

• Hence, the total distance travelled by the boy will be 7 m.

Now, calculating the displacement of the boy.

We will use here the Pythagoras Theorem .

Let the displacement of the boy be x m.

• x = √4²+3²

➻ x = √16+9

➻ x = √25

➻ x = 5m

• Hence, the displacement of the boy will be 5m.

So,

The required option is (4) 7m & 5m respectively.

Answer 2

Answer :

$\:$

• Last option 7m and 5m is correct!

$\:$

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━

$\:$

Explanation :

$\:$

Given :

$\:$

• Man travels east from his position (3 m) and then north as shown in the diagram (4 m).

$\:$

To Find :

$\:$

• Distance travelled by man?

• Displacement suffered by the boy?

$\:$

Solution :

$\:$

• Here, we know that, man travels east from his position (3 m) and then north as shown in the diagram (4 m). We have to find the distance travelled by man and the displacement suffered by boy. Firstly we will find the distance travelled by adding all given distances travelled by man. Then by using pythagoras theorem we will find the displacement suffered by boy. So, let's solve it.

$\:$

⚝ Finding distance travelled :

$\:$

➦ Distance travelled by man = (3 + 4) m

$\:$

➦ Distance travelled by man = 7 m

$\:$

⚝ Finding displacement suffered :

$\:$

• Let displacement suffered be d.

• Applying pythagoras theorem,

$\:$

➥ H² = P² + B²

$\:$

Where,

$\:$

• H is Hypotenuse

• P is Perpendicular

• B is Base

$\:$

❏ Putting all known values :

$\:$

➥ d² = 3² + 4²

$\:$

➥ d² = 9 + 16

$\:$

➥ d² = 25

$\:$

➥ d = √25

$\:$

➥ d = √(5 × 5)

$\:$

➥ d = 5

$\:$

• Therefore, distance travelled and displacement suffered is 7m and 5m. So, last option 7m and 5m is correct!

$\:$

━━━━━━━━━━━━━━━━━━━━━━━━━