Question

a cyclist travelled a distance of 1 kilometre in the first hour 0.5 km in the second hour and 0.3 km in the third and find average speed of the cyclist in kilometre per hour in metre per second

Answer 1

Answer:

The average velocity is 0.6 km/hr and 0.167 m/s.

Explanation:

Given that,

Distance in one hour = 1 km

Distance in second hour = 0.5 km

Distance in third hour = 0.3 km

We know that,

Average speed = total distance /total time

(I). Average speed in km/hr

(II). Average speed in m/s

Hence, The average velocity is 0.6 km/hr and 0.1

Answer 2

$\maltese$ Answer $\maltese$

$\checkmark$ Given:

Distance covered in first hour = 1 km

Distance covered in second hour=0.5 km

Distance covered in third hour = 0.3 km

$\checkmark$ To Find:

The average speed of the cyclist in

• kilometre per hour (km/h)
• metre per second (m/s)

$\checkmark$ Solution:

We know that,

Speed is given by the formula,

$\orange{\boxed{\boxed{\sf Speed \; (v)=\dfrac{Distance \; (d)}{Time \; (t)} }}}$

According to the Question

We are asked to find the average speed of the cyclist

• kilometre per hour (km/h)
• metre per second (m/s)

Given that,

Distance covered in first hour = 1 km

Distance covered in second hour=0.5 km

Distance covered in third hour = 0.3 km

Speed can be defined as

The total distance travelled divided by the total time taken

Mathematically,

$\green{\implies \sf speed\;(v) =\dfrac{total \ distance \ covered}{total \ time \ taken}}$

Here,

Total Distance travelled (d)

d = 1 + 0.5 + 0.3 = 1.8 km

Total Time taken (t)

t = 1 + 1 + 1 = 3 hour (h)

Therefore,

Substituting the above values in the Formula,

We get,

$\blue{\implies \sf Speed \ (v)=\dfrac{1.8 \ km}{3 \ h} }$

$\green{\implies \sf Speed \ (v)=0.6 \ km/h}$

Hence,

Average Speed (km/h) = 0.6 km/h

We are also asked to calculate,

The average speed of the Cyclist in (m/s)

Therefore,

Conversion:

$\red{\sf km/h \ \longrightarrow \ m/s}$

Divide the Speed value in (km/h) by 3.6

$\longrightarrow \ \sf v = \dfrac{0.6}{3.6} \ m/s$

$\longrightarrow \ \sf v = 0.16667 \ m/s$

By Rounding of,

We get,

$\pink{\longrightarrow \ \sf v = 0.167 \ m/s}$

Hence,

Average speed (m/s) = 0.167 m/s

So,

Finally,

Average Speed of Cyclist in

$\star$ Kilometre per hour (km/h) = 0.6 km/h

$\star$ Metre per second (m/s) = 0.167 m/s