A dart is thrown horizontally with an initial speed of 10 m / s toward point P, the bull's-eye

Name: Problem 21, Chapter 4: Fundamentals of Physics
Uploaded: 2021-04-13T03:38:44-08:00
Duration: 1 min 27 s
Channel: Ajay Singhal
Description: A dart is thrown horizontally with an initial speed of 10 m / s toward point P, the bull's-eye on a dart board. It hits at point Q on the rim, vertically below P, 0.19 s later. (a) What is the distance P Q ? (b) How far away from the dart board is the dart released?

step 1 In this question, we have horizontal speed of dart V0 x equals to 10 meter per second, and verti

Question

A dart is thrown horizontally with an initial speed of $10 \mathrm{~m} / \mathrm{s}$ toward point $P,$ the bull's-eye on a dart board. It hits at point $Q$ on the rim, vertically below $P, 0.19 \mathrm{~s}$ later. (a) What is the distance $P Q ?$ (b) How far away from the dart board is the dart released?

   A dart is thrown horizontally with an initial speed of $10 \mathrm{~m} / \mathrm{s}$ toward point $P,$ the bull's-eye on a dart board. It hits at point $Q$ on the rim, vertically below $P, 0.19 \mathrm{~s}$ later. (a) What is the distance $P Q ?$ (b) How far away from the dart board is the dart released?

Fundamentals of Physics

David Halliday,… 11th Edition

Chapter 4, Problem 21

Instant Answer

Solved by Expert Ajay Singhal

04/13/2021

Step 1

19 \mathrm{~s}$ later. We can use these values to find the distance $PQ$. Show more…

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A dart is thrown horizontally with an initial speed of $10 \mathrm{~m} / \mathrm{s}$ toward point $P,$ the bull's-eye on a dart board. It hits at point $Q$ on the rim, vertically below $P, 0.19 \mathrm{~s}$ later. (a) What is the distance $P Q ?$ (b) How far away from the dart board is the dart released?

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Key Concepts

Projectile Motion

Projectile motion describes the two-dimensional motion of an object that is launched into the air, where the only force acting on it (ignoring air resistance) is gravity. This concept involves analyzing both the horizontal and vertical components of motion independently.

Horizontal Motion

In projectile motion, horizontal motion is characterized by constant velocity because there is no acceleration in the horizontal direction. The horizontal displacement can be calculated as the product of the initial speed and the time of flight.

Vertical Motion

Vertical motion in a projectile is under the influence of gravitational acceleration. When an object is launched horizontally, its initial vertical velocity is zero, and its vertical displacement increases following the equation d = 0.5 * g * t^2, where g is the acceleration due to gravity and t is the time elapsed.

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