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A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car?

Sagot :

[tex]d = v_{i}t + \frac{1}{2}at^{2}[/tex]

where :
d-distance
vi-initial velocity
t-time
a-acceleration

d=110m
vi=0 since it is stated it started from rest
t=5.21s

[tex]110 = 0*5.21 + \frac{1}{2}a(5.21)^{2} \\ 110 = 0 + \frac{1}{2}a(5.21)^{2} \\ 110 =\frac{1}{2}a(5.21)^{2} \\ 2*110 = a(5.21)^{2} \\ 220 = 27.1441a \\ \frac{220}{27.1441} = \frac{27.1441a}{27.1441} \\ 8.10 \frac{m}{s^{2}} = a[/tex]