8. A MODEL ROCKET ACCELERATES AT A RATE OF 4t m/s². HOW HIGH ABOVE THE GROUND WILL IT BE AFTER 10 SECONDS? USE DEFINITE INTERRALS TO OBTAIN VELOCITY & POSITION. f(t) = position f' (t)= velocity f"(t) = accel. a(t) = 4t m/s² = x(4) - S 4t dit v (t) = 4+² 2 2 = 2t² + c P(t) = √V (*) P(t) = 2 +³ 3 P (10) = 3= (10) ³ = + C = (2+² dt. m ماما ماماها C = 0? f"(t) = vel I f'(e) = pos.

8. A MODEL ROCKET ACCELERATES AT A RATE OF 4t m/s². HOW HIGH ABOVE THE GROUND WILL IT BE AFTER 10 SECONDS? USE DEFINITE INTERRALS TO OBTAIN VELOCITY & POSITION. f(t) = position f' (t)= velocity f"(t) = accel. a(t) = 4t m/s² = x(4) - S 4t dit v (t) = 4+² 2 2 = 2t² + c P(t) = √V (*) P(t) = 2 +³ 3 P (10) = 3= (10) ³ = + C = (2+² dt. m ماما ماماها C = 0? f"(t) = vel I f'(e) = pos.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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I feel like I may be missing a step for this. I need bounds for the integration on definite integrals, right?

8. A MODEL ROCKET ACCELERATES AT A RATE OF 4t m/s² How HIGH ABOVE THE GROUND WILL IT BE
AFTER 10 SECONDS? USE DEFINITE INTERRALS TO OBTAIN VELOCITY & POSITION.
f (t) = position
f' (t)= velocity
f"(t) = accel.
Sf"(t) = vel
J f '(t) = pos.
a(t) = 4t m/s²
v(t) = √ 4t dt
v (t) = 4+²
2
= 2t² + c
P(E) = √V (+)
3
P(x) = 4+²/
2t
3
P (10) = 2 (10) ³
=
+ C
=
f2t² dt
m ماما ماماها
C = 0?

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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