 Hi and welcome to the session. Let's work out the following question. The question says a body moves for three seconds with a uniform acceleration and describes the distance of 108 meter. At that point the acceleration ceases and the body covers the distance of 126 meter in the next three seconds. Find the initial velocity and acceleration of the body. So, let us see the solution to this question. Let U be the initial velocity, F be the acceleration for first three seconds and V be the velocity acquired. So, we can interpret the question like this. Say at point A the velocity was U. At the point B it became V. This distance is 108 meter. This distance is 126 meter. We see that at the end of these three seconds velocity remains uniform since acceleration length ceases. Hence for BC we have distance that is 126 is equal to time that is 3 into speed that is B. This implies V is equal to 126 divided by 3 that is equal to 42 meter per second. Now for AB 108 is equal to 3 U plus half of 3 square into F because S is equal to U t plus half F t square where t is the time S is the distance. This implies 108 is equal to 3 U plus 9 by now this is 2 here. So 9 by 2 F we call this equation 1 and we have 42 is equal to U plus 3 F because V is equal to U plus F t time is 3 seconds V we have found out was 42 meter per second. Now we multiply this equation by 3. So we have 126 is equal to 3 U plus 9 F we call this 2. Now solving 1 and 2. We get 126 is equal to 3 U plus 9 F and 108 is equal to 3 U plus 9 by 2 F. Now subtracting this from this we have 126 minus 108 is 18 this is 0 9 minus 9 by 2 of F is 9 by 2 F this implies F is equal to 18 into 2 divided by 9 and that is equal to 4 meter per second square. Therefore 42 is equal to U plus 3 into 4 this implies U is equal to 42 minus 12 that is equal to 30 meter per second. So the initial velocity that is U is equal to 30 meter per second and acceleration of the body that is F is 4 meter per second square. So this is our answer to this question. I hope that you understood the solution and enjoyed the session. Have a good day.