First slide

Instantaneous acceleration

Question

A body is moving according to the equation x - at - bt² - ct³ where x=displacement and a, b and c are constants. The acceleration of the body is

Easy

A

a + 2bt
B

2b + 6ct
C

2b - 6ct
D

3b + 6ct²

Solution

x = at - bt² - ct³
v = a + 2bt - 3ct²
a = 2b - 6ct

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