Question

41. A car is moving along a straight road at a steady speed. It travels 150 m in 5 seconds :
(a) What is its average speed ?
(b). How far does it travel in 1 second ?
(c) How far does it travel in 6 seconds ?
(d) How long does it take to travel 240 m ?
Explain properly.​

Answer 1

Answer:

(a)30 m/s

(b)30 metres

(c)180 metres

(d)8 seconds

Explanation:

Given:

• Distance travelled = 150 metres
• Time taken to travel 150 metres = 5 seconds

To find:

• (a) Average speed
• (b) Distance in 1 second
• (c) Distance in 6 seconds
• (d) Time taken to travel 240 metres

(a) Average speed =$\frac{Total \ distance}{Total \ time}$

Average speed = $\frac{150}{5}$

Average speed = 30 m/s

The average speed of the car is equal to 30 m/s

(b) Distance in 1 seconds

Speed of the car = $\frac{Distance}{Time}$

Speed of the car = $\frac{150}{5}$

Speed of the car = 30 m/s

Distance in 1 second = speed×Time

Distance in 1 second = 30×1

Distance in 1 second = 30 metres

The car will cover a distance of 30 metres in 1 second

(c)Distance in 6 seconds

Speed of car = 30 m/s

Distance in 6 seconds = 6×30

Distance in 6 seconds = 180 metres

The car will cover a distance of 180 metres in 6 seconds

(d)Time taken to travel 240 metres

Distance = 240 metres

Speed = 30 m/s

Time = $\frac{Distance}{Speed}$

Time = $\frac{240}{30}$

Time = 8 seconds

The car will cover a distance of 240 metres in 8 seconds

Answer 2

Given:-

Distance travelled by car = 150 m

taken taken to cover this distance. = 5 seconds

We have to find :-

a) average speed

b) Distance travelled in 1 seconds

c) Distance travel in 6 seconds

d) time taken to cover 240 m

Solution :-

a) Now find the average speed !

$\boxed{\sf { Average \ speed = \dfrac{Total \ distance }{Total \ time }}}$

$\longrightarrow\sf Av.\ speed = \dfrac{150}{5}\\ \\ \longrightarrow\sf Av.\ speed = {\boxed{\sf 30m/s}}$

b) Distance =? , speed = 30m/s , time = 1 seconds

$\longrightarrow\sf speed \times time = Distance \\ \\\longrightarrow\sf 30\times 1 = Distance \\ \\ \longrightarrow\sf Distance = {\boxed{\sf \ 30m}}$

c) Distance = ? , speed= 30m/s , time = 6 sec

$\longrightarrow\sf speed \times time = Distance \\ \\\longrightarrow\sf 30\times 6= Distance \\ \\ \longrightarrow\sf Distance = {\boxed{\sf \ 180m}}$

d) Distance = 240m , time = ? , speed = 30m/s

$\longrightarrow\sf Time = \dfrac{Distance }{Speed}\\ \\ \longrightarrow\sf Time = \cancel{\dfrac{240}{30}}\\ \\ \longrightarrow\sf Time ={\boxed{\sf 8 \ seconds}}$