The instantaneous velocity of a particle moving in a straight line is given as v = α t + β t 2 , where α and β are constants. The distance travelled by the particle between 1   s and 2   s is:

Question

The instantaneous velocity of a particle moving in a straight line is given as v = &#945; t + &#946; t 2 , where &#945; and &#946; are constants. The distance travelled by the particle between 1 &#160; s and 2 &#160; s is:

Aicharya · Accepted Answer

V = &#945; t + &#946; t 2 d s d t = &#945; t + &#946; t 2 &#8747; S 1 S 2 &#160; d s = &#8747; 1 2 &#945; t + &#946; t 2 d t S 2 - S 1 = &#945; t 2 2 + &#946; t 3 3 1 2 As the particle is not changing direction So distance = displacement. Distance = &#945; [ 4 - 1 ] 2 + &#946; [ 8 - 1 ] 3 = 3 &#945; 2 + 7 &#946; 3

The instantaneous velocity of a particle moving in a straight line is given as v = α t + β t 2 ,…

Solution

The instantaneous velocity of a particle moving in a straight line is given as v = &#945; t + &#946; t 2 ,…

Solution

The instantaneous velocity of a particle moving in a straight line is given as v = α t + β t 2 ,…