Answered: A space vehicle starts at an initial…

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

A space vehicle starts at an initial velocity of 100 m/s along the positive x-axis, and accelerates into space. The acceleration is a(t)= (10m/s 3 )t 2 i + 2m/s 2 j The vehicle was at the origin at the time of the launch. Find the kinematic equations for the vehicle.

Vy(t) =

Expert Solution

Step 1

Given data-(t)

Initial velocity (V_o)=100 m/sec

V_ox=100m/sec

a(t)= (10m/s 3 )t 2 i + 2m/s 2 j

Now

V_x(t)=V_ox + $\int a_{x} d t$

$V_{x} (t) = 100 + \int 10 t^{2} d t = 100 + 10 (\frac{t^{3}}{3}) = 100 + 3.3 t^{3}$

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