Question

Based on the information in the table, what

is the acceleration of this object?
(m/s)
t(s)
0.0
3.0
1.0
1.0
2.0
-1.0
3.0
-3.0
A. -3.0 m/s2
B. 2.0 m/s2
C. 1.0 m/s2
D. -2.0 m/s2

Answer 1

-2.0 m/s^2

Explanation:

Acceleration can be found by:

`\displaystyle \large{ (dv)/(dt) = a }`

where a = acceleration.

or

`\displaystyle \large{ (v_2 - v_1)/(t_2 - t_1) = a }`

Using two values or points.

t1 = 0 and v1 = 3

t2 = 1 and v2 = 1

Substitute in:

`\displaystyle \large{ (1-3)/(1-0) = a } \\ \displaystyle \large{ ( - 2)/( 1) = a } \\ \displaystyle \large{-2 = a }`

Therefore acceleration is -2.0 m/s^2