Aparticle moves on a coordinate line with acceleration star tfraction d squared s over dt squared end fraction equals 60 start root t end root minus start fraction 21 over start root t end root end fraction , subject to the conditions that start fraction ds over dt end fraction equals 8 and sequals16 when t equals 1. find
a) the velocity v equals start fraction ds over dt endfraction in terms of t
b) the position s in terms of t.

Velocity , v (t) =  90√t³ -   42√t

Position , s (t) = 36 √t⁵ - 28√t³

Step-by-step explanation:

d²s/dt =60√t -21/√t, (1)

Subject to:

ds/dt =8; 16 at t=1

Integrating equation (1) we have :

ds/dt = 90√t³ -   42√t (2)

s = ∫90√t³ -   42√t dt

 =      36 √t⁵ - 28√t³ (3)

Velocity , v (t) =  90√t³ -   42√t

Position , s (t) = 36 √t⁵ - 28√t³

your answer is b ^w^ hope i

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.