A lorry accelerates uniformly in a straight line with acceleration of  \(4ms^-2\) and covers a distance of 250 m in a time interval of 10 s. How far will it travel in the next 10 s?

Truss

1 year ago

We’re told the lorry accelerates uniformly at 4 m/s², covers 250 m in the first 10 seconds, and we need to find how far it travels in the next 10 seconds.

Step 1: Find initial velocity

Use the equation:

s = ut + \frac{1}{2}at^2








250 = u(10) + \frac{1}{2}(4)(10)^2 \\
250 = 10u + 2 \times 100 \\
250 = 10u + 200 \\
10u = 50 \Rightarrow u = 5 \, \text{m/s}

Step 2: Find total distance in 20 seconds

Now use the same formula with:








s = 5(20) + \frac{1}{2}(4)(20)^2 \\
s = 100 + 2 \times 400 = 100 + 800 = 900 \, \text{m}

Step 3: Subtract first 10 seconds’ distance

\text{Distance in next 10 s} = 900 - 250 = \boxed{650 \, \text{m}}

Correct answer: A. 650

Brighto001

2 months ago

How did we get the final time as 20 secs.. I am still confused.

Deborahhh08

1 year ago

Pls clarify the question properly, I'm sure a lot of people picked 900 cause that was my mistake

Odemosad

1 year ago

Option A is Correct