A stone is catapulted at time t = 0, with an initial velocity of magnitude 25.0 m/s and at an angle of 48.0° above the horizontal. (Neglect air resistance.) Find its horizontal and vertical displacements from the catapult site at the following times after launch. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) (a) 1.30 s horizontal vertical (b) 1.60 s horizontal vertical (c) 3.8 s horizontal vertical m

A stone is catapulted at time t = 0, with an initial velocity of magnitude 25.0 m/s and at an angle of 48.0° above the horizontal. (Neglect air resistance.) Find its horizontal and vertical displacements from the catapult site at the following times after launch. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) (a) 1.30 s horizontal vertical (b) 1.60 s horizontal vertical (c) 3.8 s horizontal vertical m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Projectile Motion Problem:**

A stone is catapulted at time \( t = 0 \), with an initial velocity of magnitude \( 25.0 \, \text{m/s} \) and at an angle of \( 48.0^\circ \) above the horizontal. (Neglect air resistance.) Find its horizontal and vertical displacements from the catapult site at the following times after launch. (Assume that the \( +x \)-axis is to the right and the \( +y \)-axis is up along the page.)

**Time intervals:**

**(a) \( 1.30 \, \text{s} \)**

- Horizontal: \(\_\_\_\_\) m
- Vertical: \(\_\_\_\_\) m

**(b) \( 1.60 \, \text{s} \)**

- Horizontal: \(\_\_\_\_\) m
- Vertical: \(\_\_\_\_\) m

**(c) \( 3.8 \, \text{s} \)**

- Horizontal: \(\_\_\_\_\) m
- Vertical: \(\_\_\_\_\) m

*Note:* This problem requires understanding the equations of motion in two dimensions, taking into account the initial velocity components and the effects of gravity.

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