Velocity & Other Rates of Change

University:
High School
Course:
High School Physics
Academic year:

2022
Views:

329

Pages:

3
Author:

Fininotp

3.4\Velocity & Other Rates of Change Concepts Vertical Motion s(t) = position � CJ'(" X(tl 1 \e.r v,., l fl ., h.o..., i" t • A.;.. �-.el �. v(t) = velocity where s '(t) = v(t) �----r:'! (� a(t) = acceleration �0 where v '(t) = a(t). �' (-e) ">f"'·l'c,( , I Velo c: +y I :.fltver(--1 ve . V ( t) -;; V ( f::\ � let+/Jow"' t/ '51rt+/1A-p A dynamite blast propels a heavy rock straight up with a launch velocity of 160 ft/sec(� 109 mph). It reaches a height of S = l 60t - l 6t2 ft after t seconds. . \ \ a) How high does the rock go? . � � ��'S� � 1.. ' � � t) :: I "c) - 3 z_ l: 5l op e � D ," ' 0( (�) t'"' Example: Rock Blast + 1 0 �� h.�01 ,,,r' 1-1 -= IJ, 0 � 3 "2-t 3i t ,o �rt)-:..D "" 1'-o -t-=- /ft,O r� / ia C 5) - "' ... -;..;-:{ oo.f 4_ �u +l -;.Sse..� b) What is the velocity and speed of the rock when it is 256 ft above the ground on the way up? ... on the way down? 25£,:. \bO-l-16i 1.. o -_ }6'-f:.,7- - l C:,Ot -t ;...s (. o ::: ! � ( f -i. - lot. ·+. I b\ O :: lb ( t: -2, 1( { - � ) t. :; "2.. .-l :; ei c) What is the acceleration of the rock at any time t during its flight(after the blast? � {-f:); v '(l) ::. _.,�z. +f/s� d) When does the rock hit the ground? c�r��f,._� o '";.. I �D f - l �{. l. {) �:- t �.f ( lo -t J I -....J