to find the maximum value of s if s depends on t as s = -3t² + 15T + 5 solution : here, s(t) = -3t² + 15t + 5differentiating with respect to time, we get, ds(t)/dt = -6t + 15 at ds(t)/dt = 0 = -6t + 15 ⇒t = 5/2now again differentiating with respect to time, d²s(t)/dt² = -6 < 0 at t = 5/2 [ well s"(t) is negative for all value of t but s'(t) = 0, give t = 5/2 so we consider t = 5/2] hence maximum value of s will be at t = 5/2 now, maximum value of s = s(5/2) = -3(5/2)² + 15(5/2) + 5 = -3 × 6.25 + 37.5 + 5 = -18.75 + 42.5 = 23.75 Therefore the maximum value of -3t² + 15t + 5 is 23.75also read SIMILAR questions : If momentum of a particle is p = ( 2t³ - 3t² + 3t + 1 ) kgm/s. Find the FORCE at t = 2 sec. ???? brainly.in/question/17158170A particle moves ALONG straight line and its VELOCITY depends on time as v=3t - t^2 v in m/s t in second. Find the avera... brainly.in/question/4146811A particle is moving along a line such that s = 1/3t^2+ 8t + 5 (s is in ft., t is in sec.).) sFind its velocity ... brainly.in/question/25122116