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Chapter 4: Q29P (page 85)
A projectile’s launch speed is five times its speed at maximum height. Find launch angle.
The launch angle
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An ion’s position vector is initially ,and 10 slater
it is , all in meters. In unit vector notation, what is itsduring the 10 s ?
A cart is propelled over a xyplane with acceleration components.Its initial velocity has components In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?
A baseball leaves a pitcher’s hand horizontally at a speed of. The distance to the batter islocalid="1654591573193" . (a)How long does the ball take to travel the first half of that distance? (b) The second half? (c)How far does the ball fall freely during the first half? (d) During the second half? (e)Why aren’t the quantities in (c) and (d) equal?
You are kidnapped by political-science majors (who are upset because you told them political science is not real science). Although blindfolded, you can tell the speed of their car (by the whine of the engine), the time of travel (by mentally counting off seconds), and the direction of travel (by turns along the rectangular street system). From these clues, you know that you are taken along the following course: for, turn to the right, for, turn to the right, for, turn to the left,for, turn to the right, for, turn to the left for. At that point, (a) how far are you from your starting point, and (b) in what direction relative to your initial direction of travel are you?
Long flights at mid-latitudes in the Northern Hemisphere encounter the jet stream, an eastward airflow that can affect a plane’s speed relative to Earth’s surface. If a pilot maintains a certain speed relative to the air (the plane’s airspeed), the speed relative to the surface (the plane’s ground speed) is more when the flight is in the direction of the jet stream and less when the flight is opposite the jet stream. Suppose a round-trip flight is scheduled between two cities separated by 4000 km, with the outgoing flight in the direction of the jet stream and the return flight opposite it.The airline computer advises an airspeed of 1000 km/hr, for which the difference in flight times for the outgoing and return flights is 70.0 min.What jet-stream speed is the computer using?
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