The motion by a body is described by the equation u=at.Find the distance travelled by the body in first 4 sec.

Asked by Padmavathi | 6th Oct, 2014, 08:29: AM

Expert Answer:

Motion of the body is given by u = at, where a is a constant.
 
begin mathsize 14px style Velocity space straight u space can space be space written space as : straight u equals dx over dt Therefore space we space can space write : dx over dt space equals at where space straight a space is space straight a space constant. dx equals at space dt On space integrating space integral dx equals straight a integral space straight t space dt we space get : distance comma space straight x equals space 1 half space at squared space space space space space space space space space space At space straight t equals space 4 space sec : Distance space travelled space straight x space equals 1 half cross times straight a cross times 4 squared space space space straight x space equals 8 space straight a space end style

Answered by Jyothi Nair | 6th Oct, 2014, 11:08: AM