A particle travels 10 m in first 5 sec and 10 m in next 3 sec . Assuming constant acceleration what is the distance travelled in next 2 sec
Text Solution
Verified by ExpertsA
Let initial r = D velocity of particle .
For first 5 sec motion \(s_5 \quad 10 \text{ metre}\)
\(5 - \left(a + \frac{1}{2} a^{2}\right) = 10 - 5a + \frac{1}{2} a (5)^{2}\)
\(2u + 5\sigma = 4\) … (i)
For first 8 sec of motion \(s_a \quad 20 \quad metre\)
\(20 - 8u + \frac{1}{2}a(8)^2 = 2u + 8u - 5\) … (ii)
By solving \(v = \frac{7}{6} \text{ m/s and } a = \frac{1}{3} \text{ m/s}^2\)
Now distance travelled by particle in Total 10 sec.
\(s_v = v \times 10 + \frac{1}{2} a 10^2\)
By substituting the value of u and a we will get \(s_{10} \quad 28.3 \, m\)
so the distance in last \(2 \sec \quad s_j - s_i\)
= 28.3 - 20 = 8.3 m
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems