Multiple Choice
Which of the following statements correctly describes the relationship between displacement, initial velocity, time, and acceleration in kinematics?
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2. 1D Motion / Kinematics
Kinematics Equations
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A moving hockey puck encounters a patch of rough ice and slides 90cm before coming to a full stop. Assuming a constant deceleration of 8 m/s2, what was the puck's initial speed?
A
3.79 m/s
B
2.68 m/s
C
37.9 m/s
D
1.90 m/s
Verified step by step guidance1
Identify the known values: the distance the puck slides (d = 90 cm = 0.9 m) and the constant deceleration (a = -8 m/s²). The final velocity (v) is 0 m/s since the puck comes to a stop.
Use the kinematic equation that relates initial velocity (u), final velocity (v), acceleration (a), and distance (d): v² = u² + 2ad.
Substitute the known values into the equation: 0 = u² + 2(-8)(0.9).
Simplify the equation to solve for the initial velocity (u): u² = -2(-8)(0.9).
Take the square root of both sides to find the initial speed: u = √[2(8)(0.9)].
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