Multiple Choice
Which of the following statements is a prediction based on kinematics equations?
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2. 1D Motion / Kinematics
Kinematics Equations
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A car travels with an initial velocity of -10 m/s and has a constant acceleration of 2 m/s² for 15 seconds. What is the displacement of the car after 6 seconds?
A
-24 meters
B
18 meters
C
6 meters
D
12 meters
Verified step by step guidance1
Identify the given values: initial velocity \( v_0 = -10 \text{ m/s} \), acceleration \( a = 2 \text{ m/s}^2 \), and time \( t = 6 \text{ s} \).
Use the kinematic equation for displacement: \( s = v_0 t + \frac{1}{2} a t^2 \).
Substitute the given values into the equation: \( s = (-10 \text{ m/s}) \times 6 \text{ s} + \frac{1}{2} \times 2 \text{ m/s}^2 \times (6 \text{ s})^2 \).
Calculate the first term: \( (-10 \text{ m/s}) \times 6 \text{ s} \).
Calculate the second term: \( \frac{1}{2} \times 2 \text{ m/s}^2 \times (6 \text{ s})^2 \) and add it to the first term to find the total displacement.
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