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Answer:
30m, 24m/s
Step-by-step explanation:
Given the expression for the position of the object expressed as:
S = 6t² + 3t + 7,
At t = 0
S0 = 6(0)²+3(0)+7
S0 = 0+0+7
S(0) = 7m
At t = 2
S2 = 6(2)² + 3(2)+ 7
S2 = 6(4)+6+7
S2 = 24+13
S2 = 37
The displacement = S2-S0 = 37-7= 30m
For the velocity
V = dS/dt = 12t+3
At t = 0
V0 = 12(0)+3
V0 = 3
At t= 2
V2 = 12(2)+3
V2 = 24+3
V2 =27
The velocity will be V2-V0 = 27-3 = 24m/s