If r ( t ) is the position function of a particle, then the velocity, acceleration, and speed of the particle at time t are given, respectively, by v ( t ) = _______ , a( t ) = _______ , d s d t = ______
If r ( t ) is the position function of a particle, then the velocity, acceleration, and speed of the particle at time t are given, respectively, by v ( t ) = _______ , a( t ) = _______ , d s d t = ______
An object moves in such a way that its displacement s (in metres) as a function of time t
(in seconds) is given by the equation
of this object at
Determine the acceleration
s(t) = 2t - 9t +7t-1
seconds.
t= 2
3 m/sec
O 6 m/sec
O 4 m/sec
O 2 m/sec
4
A body moves on a coordinate line such that it has a position s = f(t):
+²
a. Find the body's displacement and average velocity for the given time interval.
b. Find the body's speed and acceleration at the endpoints of the interval.
c. When, if ever, during the interval does the body change direction?
The body's displacement for the given time interval is
(Type an integer or a simplified fraction.)
The body's average velocity for the given time interval is
(Type an integer or a simplified fraction.)
m.
The body's speeds at the left and right endpoints of the interval are
(Type integers or simplified fractions.)
A. The body changes direction at t =
m/s.
S.
2
on the interval 1 ≤t≤2, with s in meters and t in seconds.
t
(Type an integer or a simplified fraction.)
B. The body does not change direction during the interval.
m/s and m/s, respectively.
The body's accelerations at the left and right endpoints of the interval are
(Type integers or simplified fractions.)
When, if ever, during…
The equation of motion of a particle is s = t-5t, where s is in meters and t is in seconds. Assuming that t 2 0, answer the following questions.
1. Find the velocity v as a function of t.
Answer v(t) =
2. Find the acceleration a as a function of t.
Answer: a(t)
3. Find the acceleration after 2 seconds.
Answer (in m/s) a(2) =|
4. Find the acceleration when the velocity is 0.
Answer (in m/s), a =|
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY