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Chapter 2: Q50PE (page 84)
A kangaroo can jump over an object 2.50 mhigh.
(a) Calculate its vertical speed when it leaves the ground.
(b) How long is it in the air?
a)
b) 1.43 s
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While entering a freeway, a car accelerates from rest at a rate of\({\bf{2}}{\bf{.40}}\;{\bf{m/}}{{\bf{s}}^{\bf{2}}}\)for 12.0 s. (a) Draw a sketch of the situation. (b) List the knowns in this problem. (c) How far does the car travel in those 12.0 s? To solve this part, first identify the unknown, and then discuss how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, check your units, and discuss whether the answer is reasonable. (d) What is the car鈥檚 final velocity? Solve for this unknown in the same manner as in part (c), showing all steps explicitly.
(a) Calculate Earth鈥檚 average speed relative to the Sun.
(b) What is its average velocity over a period of one year?
A well-thrown ball is caught in a well-padded mitt. If the deceleration of the ball is\({\bf{2}}{\bf{.10 \times 1}}{{\bf{0}}^{\bf{4}}}\;{\bf{m/}}{{\bf{s}}^{\bf{2}}}\), and 1.85 ms (\({\bf{1}}\;{\bf{ms = 1}}{{\bf{0}}^{{\bf{ - 3}}}}\;{\bf{s}}\)) elapses from the time the ball first touches the mitt until it stops, what was the initial velocity of the ball?
An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s2as it goes through. The station is 210m long.
(a) How long is the nose of the train in the station?
(b) How fast is it going when the nose leaves the station?
(c) If the train is130 m, when does the end of the train leave the station?
(d) What is the velocity of the end of the train as it leaves?
An object that is thrown straight up falls back to Earth. This is one-dimensional motion.
(a) When is its velocity zero?
(b) Does its velocity change direction?
(c) Does the acceleration due to gravity have the same sign on the way up as on the way down?
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