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Chapter 3: Problem 11

In ideal projectile motion, the velocity and acceleration of the projectile at its maximum height are, respectively, a) horizontal, vertical c) zero, zero. downward. d) zero, vertical downward. b) horizontal, zero. e) zero, horizontal.

Short Answer

Expert verified
Answer: At its maximum height, the projectile's velocity is horizontal and its acceleration is vertical downward.

Step by step solution

01

Recall the main concepts of projectile motion

In ideal projectile motion, a projectile is launched with an initial velocity that has both vertical and horizontal components. The projectile's motion is affected only by gravity, which acts vertically downward.
02

Analyze projectile velocity at the maximum height

At the maximum height of the projectile, the vertical velocity component becomes zero because the projectile momentarily stops moving upwards and starts falling back to the ground. However, the horizontal component of velocity remains constant and unaffected by gravity. Therefore, the projectile's velocity at its maximum height is horizontal.
03

Analyze projectile acceleration at the maximum height

The acceleration of the projectile is due to gravity, which always acts vertically downwards. This acceleration remains constant throughout the projectile's motion, including when it's at its maximum height. Therefore, the projectile's acceleration at its maximum height is vertical downward.
04

Identify the correct option

Based on the analysis above, the correct statement about the projectile's velocity and acceleration at its maximum height is: - Velocity: horizontal - Acceleration: vertical downward The correct option is (a).

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Most popular questions from this chapter

An airplane flies horizontally above the flat surface of a desert at an altitude of \(5.00 \mathrm{~km}\) and a speed of \(1000 . \mathrm{km} / \mathrm{h}\) If the airplane is to drop a care package that is supposed to hit a target on the ground, where should the plane be with respect to the target when the package is released? If the target covers a circular area with a diameter of \(50.0 \mathrm{~m}\), what is the "window of opportunity" (or margin of error allowed) for the release time?

A skier launches off a ski jump with a horizontal velocity of \(30.0 \mathrm{~m} / \mathrm{s}\) (and no vertical velocity component). What are the magnitudes of the horizontal and vertical components of her velocity the instant before she lands 2.00 s later?

A plane diving with constant speed at an angle of \(49.0^{\circ}\) with the vertical, releases a package at an altitude of \(600 . \mathrm{m}\). The package hits the ground \(3.50 \mathrm{~s}\) after release. How far horizontally does the package travel?

The acceleration due to gravity on the Moon is \(1.62 \mathrm{~m} / \mathrm{s}^{2},\) approximately a sixth of the value on Earth. For a given initial velocity \(v_{0}\) and a given launch angle \(\theta_{0}\) the ratio of the range of an ideal projectile on the Moon to the range of the same projectile on Earth, \(R_{\text {Moon }} / R_{\text {Farth }}\) will be a) \(6 \mathrm{~m}\) d) \(5 \mathrm{~m}\) b) \(3 \mathrm{~m}\) e) \(1 \mathrm{~m}\) c) \(12 \mathrm{~m}\)

A circus juggler performs an act with balls that he tosses with his right hand and catches with his left hand. Each ball is launched at an angle of \(75^{\circ}\) and reaches a maximum height of \(90 \mathrm{~cm}\) above the launching height. If it takes the juggler \(0.2 \mathrm{~s}\) to catch a ball with his left hand, pass it to his right hand and toss it back into the air, what is the maximum number of balls he can juggle?
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