Skip to main content
Ch 03: Motion in Two or Three Dimensions
Young & Freedman Calc - University Physics 14th Edition
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoYoung & Freedman Calc 14th EditionCh 03: Motion in Two or Three DimensionsProblema 16b
Capitolo 3, Problema 16b

On level ground a shell is fired with an initial velocity of 40.0 m/s at 60.0° above the horizontal and feels no appreciable air resistance. How long does it take the shell to reach its highest point?

Guida verificata passo dopo passo
1
Identify the vertical component of the initial velocity. Use the formula: \( v_{0y} = v_0 \sin(\theta) \), where \( v_0 = 40.0 \text{ m/s} \) and \( \theta = 60.0^\circ \).
Recognize that at the highest point, the vertical velocity is zero. Therefore, use the kinematic equation: \( v_y = v_{0y} - g t \), where \( v_y = 0 \) and \( g = 9.8 \text{ m/s}^2 \) (acceleration due to gravity).
Rearrange the kinematic equation to solve for time \( t \): \( t = \frac{v_{0y}}{g} \).
Substitute the expression for \( v_{0y} \) from step 1 into the equation from step 3.
Calculate the time \( t \) using the values obtained from the previous steps, ensuring all units are consistent.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
6m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Projectile Motion

Projectile motion refers to the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. It involves two components of motion: horizontal and vertical. The horizontal motion is uniform, while the vertical motion is uniformly accelerated, typically due to gravity.
Video consigliato:
Percorso guidato
04:44
Introduction to Projectile Motion

Initial Velocity Components

The initial velocity of a projectile can be broken down into horizontal and vertical components using trigonometry. For a velocity v at an angle θ, the horizontal component is v*cos(θ) and the vertical component is v*sin(θ). These components are crucial for analyzing the projectile's motion separately in each direction.
Video consigliato:
Percorso guidato
05:53
Calculating Velocity Components

Time to Reach Maximum Height

The time to reach the maximum height in projectile motion is determined by the vertical component of the initial velocity and the acceleration due to gravity. At the highest point, the vertical velocity becomes zero. The time can be calculated using the formula t = (v*sin(θ))/g, where g is the acceleration due to gravity.
Video consigliato:
Percorso guidato
08:17
Height of a Roof
Pratica correlata
Domanda del libro di testo

The froghopper, Philaenus spumarius, holds the world record for insect jumps. When leaping at an angle of 58.0° above the horizontal, some of the tiny critters have reached a maximum height of 58.7 cm above the level ground. (See Nature, Vol. 424, July 31, 2003, p. 509.) What was the takeoff speed for such a leap?

5857
views
8
rank
Domanda del libro di testo

On level ground a shell is fired with an initial velocity of 40.0 m/s at 60.0° above the horizontal and feels no appreciable air resistance. How far from its firing point does the shell land?

2162
views
Domanda del libro di testo

A rookie quarterback throws a football with an initial upward velocity component of 12.0 m/s and a horizontal velocity component of 20.0 m/s. Ignore air resistance. How far has the football traveled horizontally during this time?

2309
views
Domanda del libro di testo

On level ground a shell is fired with an initial velocity of 40.0 m/s at 60.0° above the horizontal and feels no appreciable air resistance. Find the horizontal and vertical components of the shell's initial velocity.

2975
views
Domanda del libro di testo

On level ground a shell is fired with an initial velocity of 40.0 m/s at 60.0° above the horizontal and feels no appreciable air resistance. Find its maximum height above the ground.

1907
views
Domanda del libro di testo

On level ground a shell is fired with an initial velocity of 40.0 m/s at 60.0° above the horizontal and feels no appreciable air resistance. At its highest point, find the horizontal and vertical components of its acceleration and velocity.

4000
views
1
comments