Question
A particle moving in a straight line with uniform
acceleration covers distances 5 m, 9 m, and 13 m in the 1st, 2nd, and 3rd second of motion respectively. What is its acceleration?Solution
We are given the distances covered in the 1st, 2nd, and 3rd seconds of motion: s₁ = 5 m (1st second) s₂ = 9 m (2nd second) s₃ = 13 m (3rd second) For uniformly accelerated motion, the distance covered in the n-th second is given by: sₙ = u + a/2 (2n - 1) Let’s apply this for each second: First second: s₁ = u + (a/2)(2×1 – 1) = u + (a/2) Second second: s₂ = u + (a/2)(3) = u + (3a/2) Third second: s₃ = u + (a/2)(5) = u + (5a/2) Now subtract: s₂ – s₁ = (u + 3a/2) – (u + a/2) = a ⇒ 9 – 5 = a = 4 m/s²
Read the following sentences and spot the error.
(A) Having inherited a foreign model of teacher preparation at the time of independence
<...Indore retained its prominence even in the 20th Century due to its association with four prominent musicians linked with the city.
Read each sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. Mark the part with the error a...
Jerusalem, which houses holy places of both three Abrahamic religions and is claimed by both Israelis and Palestinians , is at the very heart of the di...
Under Flick’s leadership, the Blaugrana (1)/ have shown signs of revitalisation (2)/ and seem poising to mount a serious (3)/ challenge to Real’...
Before the recession, Ireland was on the pig's back , but the situation has changed drastically.
Parts of the following sentence are given as options. Identify the segment that contains a grammatical error.
If you will search his pockets yo...
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option...
Sustainable forest crops reduce (1)/food insecurity and empower women, (2)/allowing them to gain access to (3)/the most nutritional diets and new incom...
In the following question, a sentence is given with a few highlighted words that may be incorrectly placed. Rearrange these words to form a sentence t...
Relevant for Exams:
