Question

Q2. A train travels at a constant speed of 45 m/s. a) Calculate the distance travelled by the train in:

i) 30 s
ii) 2 minutes.​

Answer 1

the train travels at 45 meters per each second

this question can be rewritten into the equation d = 45t, where d represents the distance traveled and t represents the time elapsed.

we are given two seperate times, so we can replace the variable t with each respective time. this leaves us with only one missing variable, so we can successfully isolate to find the other.

for i), we substitute t for 30 seconds, shown as follows

d = 45t

d = 45(30)

d = 1350m

for ii), we know that there are 60 seconds in every minute, so in multiplying 60 seconds by two we get the total amount of seconds in two minutes, which is 120.

we can now use 120 to substitute t in our equation

d = 45t

d = 45(120)

d = 5400m

hope this helps!!

Answer 2

i) 1350 m

ii) 5400 m

Explanation:

To calculate the distance traveled by the train, we can use the formula:

`\large\boxed{\sf Distance=Speed * Time}`

`\hrulefill`

Question (i)

Given values:

• Speed = 45 m/s (meters per second)
• Time = 30 seconds

Substitute the given values into the formula for distance:

`\begin{aligned}\sf Distance&= \sf 45\; m/s * 30\;s\\& = \sf 1350\:m\end{aligned}`

Therefore, the train travelled a distance of 1350 meters in 30 seconds.

`\hrulefill`

Question (ii)

Given values:

• Speed = 45 m/s (meters per second)
• Time = 2 minutes

As the time is given in a different unit of time than the speed, we must first convert the time into seconds. As 1 minute = 60 seconds, then:

`\sf 2\; minutes = 60 \;s * 2 = 120 \;s`

Substitute the given values into the formula for distance:

`\begin{aligned}\sf Distance&= \sf 45\; m/s * 120\;s\\& = \sf 5400\:m\end{aligned}`

Therefore, the train travelled a distance of 5400 meters in 2 minutes.