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Magazine Problem 27
In Problems \(23-30\), assume that the plane's new velocity is the vector sum of the plane's original velocity and the wind velocity. A plane is flying southwest at \(155 \mathrm{~m} / \mathrm{h}\) and encounters a wind from the west at \(45.0 \mathrm{mi} / \mathrm{h} .\) What is the plane's new velocity with respect to the ground in standard position?
Problem 28
In Problems \(23-30\), assume that the plane's new velocity is the vector sum of the plane's original velocity and the wind velocity. A plane is flying southeast at \(215 \mathrm{~km} / \mathrm{h}\) and encounters a wind from the north at \(75.0 \mathrm{~km} / \mathrm{h}\). What is the plane's new velocity with respect to the ground in standard position?
Problem 28
A car with velocity \(2.00 \mathrm{~m} / \mathrm{s}\) at \(t=0\) accelerates at \(4.00 \mathrm{~m} / \mathrm{s}^{2}\) for \(2.50 \mathrm{~s}\). What is its velocity at \(t=2.50 \mathrm{~s}\) ?
Problem 29
In Problems \(23-30\), assume that the plane's new velocity is the vector sum of the plane's original velocity and the wind velocity. A plane is flying at \(25.0^{\circ}\) north of west at \(19 \overline{0} \mathrm{~km} / \mathrm{h}\) and encounters a wind from \(15.0^{\circ}\) north of east at \(45.0 \mathrm{~km} / \mathrm{h}\). What is the plane's new velocity with respect to the ground in standard position?
Problem 29
A truck moving at \(30.0 \mathrm{~km} / \mathrm{h}\) accelerates at a constant rate of \(3.50 \mathrm{~m} / \mathrm{s}^{2}\) for \(6.80 \mathrm{~s}\). Find its final velocity in \(\mathrm{km} / \mathrm{h}\).
Problem 30
A bus accelerates from rest at a constant \(5.50 \mathrm{~m} / \mathrm{s}^{2}\). How long will it take to reach \(28.0 \mathrm{~m} / \mathrm{s}\) ?
Problem 30
In Problems \(23-30\), assume that the plane's new velocity is the vector sum of the plane's original velocity and the wind velocity. A plane is flying at \(36.0^{\circ}\) south of west at \(15 \overline{0} \mathrm{mi} / \mathrm{h}\) and encounters a wind from \(75.0^{\circ}\) north of east at \(55.0 \mathrm{mi} / \mathrm{h}\). What is the plane's new velocity with respect to the ground in standard position?
Problem 31
A motorcycle slows from \(22.0 \mathrm{~m} / \mathrm{s}\) to \(3.00 \mathrm{~m} / \mathrm{s}\) with constant acceleration \(-2.10 \mathrm{~m} / \mathrm{s}^{2} .\) How much time is required to slow down?
