CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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Students have asked these similar questions
A4) The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 2t - 20t
meters. [ 1 mark ]
(a) Determine the velocity of the bird at t = 3 sec. [0.25 mark]
(b) Determine the acceleration of the bird at t = 3 sec. [0.25 mark]
(c) Determine the acceleration of the bird when the velocity equals 0. [0.5 mark]
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a(t) = 90t, at which time the fuel is exhausted and it becomes a freely "falling" body. Eighteen
seconds later, the rocket's parachute opens, and the (downward) velocity slows linearly to -11 ft/s in 5 seconds. The rocket then "floats" to the ground at that rate.
(a) Determine the position function s and the velocity function v (for all times t).
4512
if 0 sts 3
405
if 3 26
15r3
if 0 sts 3
405
if 3 26
A projectile is fired straight up from a platform 10ft above the ground, with an
initial velocity of 160 ft/sec. Assume that the only force affecting the motion of
the projectile during its flight is from gravity, which produces a downward
acceleration of 32 ft/sec?. What is the equation for the height of the projectile
above the ground as a function of time t if t = 0 when the projectile is fired?
s = -16t2 + 80t + 10
s = 16t2 – 160t + 10
-
O D
A
s = -16t2 – 160t + 10
s = -16t2 + 160t + 10
B
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- Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.arrow_forwardA particle moves in a straight line with a constant acceleration of -8 ms 2. At t = 0, the velocity of the particle is 10 ms-¹. Taking the positive x-axis to be in the direction that the particle is initially moving, with the origin at the location of the particle at t = 0, at what time is the position of the particle given by x = -750m? The position is a = -750 m after seconds.arrow_forward
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