(3) -7 At time t = 0, an object (modelled as a particle) of mass 25 kg is at the point P = measured in metres. It is travelling with velocity -2t v(t) = 6t -1 ms -5(t+ 1)-1 (a) Find the speed of the particle at time t = 5 s. (b) Find the acceleration of the particle and the force applied to it that causes this motion as functions of t. (c) Find the position of the particle as a function of t. (1) IN
(3) -7 At time t = 0, an object (modelled as a particle) of mass 25 kg is at the point P = measured in metres. It is travelling with velocity -2t v(t) = 6t -1 ms -5(t+ 1)-1 (a) Find the speed of the particle at time t = 5 s. (b) Find the acceleration of the particle and the force applied to it that causes this motion as functions of t. (c) Find the position of the particle as a function of t. (1) IN
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:At time t
0, an object (modelled as a particle) of mass 25 kg is at the point P
3
measured in metres. It is travelling with velocity
-2t
е
v(t) =
6t
ms.
-5(t+ 1)-1
(a) Find the speed of the particle at time t = 5 s.
(b) Find the acceleration of the particle and the force applied to it that causes this motion
as functions of t.
(c) Find the position of the particle as a function of t.
(d) At a certain time, ta, during the motion, the force applied to the particle is
-2.49
F(ta) =
150
N
20
to 2 decimal places. Find the exact value of ta and find the particle's distance to the origin
at this time.
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