Question

Suppose the position of an object moving in a straight line is given by s(t) = 2t? + 3t+3. Find the instantaneous velocity when t=5. The instantaneous velocity at t = 5 is 1.

Answer 1

neu Given the object is moving in a Straight line given by - s(t) = 2t +35+3 - 0 The instantaneous velocity at t=5 is given by = s(5) Differentiate » Wanit st'- s'ct) = 2.2t +3.1+0 1°: (+")'=nth- s'(t) = 4t+3 Put t=5 s'(5)= 415)+3 s'15) = 23) Justantaneous velocity is =23 cous

Oy - Ginem gut) = 5-t? - © Instantaneous Rate of Change of at t = -4 is = g'(-4) get) биш Differentiate @ Worot 't'- g'(t) = 0-(2+) g'(t) = -8t Put t=-4 964) = -864) =) Instantaneous Rate of Change of glt) = 8. othyure.