Question

exit ticket 10.15
physics
october 13, 2023
2 kinematics
\\( \delta x=\frac{\left(v_{0}+v_{f}\
ight) t}{2} \\) (1)
\\( v_{f}=v_{0}+a t \\) (2)
\\( \delta x=v_{0} t+\frac{1}{2} a t^{2} \\) (3)
\\( \delta x=v_{f} t-\frac{1}{2} a t^{2} \\) (4)
\\( v_{f}^{2}=v_{0}^{2}+2 a \delta x \\) (5)
problem 1. an iceberg is drifting with an initial velocity of 7 m/s. the iceberg is slowing down,
accelerating at a rate of \\( -1.1 \mathrm{~m} / \mathrm{s}^{2} \\). given that the iceberg was moving for a time of 5 s, calculate its
displacement.
problem 2. a snail track is moving with an initial velocity of 6.5 m/s. it travels a displacement of 10 m
in a time of 7.1 s. calculate the final velocity of the snail track.
problem 3. a snail is accelerating at a rate of \\( 2.2 \mathrm{~m} / \mathrm{s}^{2} \\) for a time of 9 s. if the final velocity of the
snail is 23 m/s, calculate the initial velocity.

Explanation:

Step1: Identify the kinematic equation

We use the equation \(\Delta x = v_0t+\frac{1}{2}at^2\) (Equation (3) in the given kinematics equations) to find the displacement of the iceberg. Here, \(v_0 = 7\ m/s\), \(a=- 1.1\ m/s^2\), and \(t = 5\ s\).

Step2: Substitute the values into the equation

Substitute \(v_0 = 7\ m/s\), \(a=-1.1\ m/s^2\), and \(t = 5\ s\) into \(\Delta x = v_0t+\frac{1}{2}at^2\).

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Answer:

The displacement of the iceberg is \(21.25\ m\)