SOLUTION: 1.An object moves along a straight path whose distance from the reference point is given by the position function, d(t) = t2 + 4t + 12 m after t seconds. Find:
a. the position of
Algebra.Com
Question 1181995: 1.An object moves along a straight path whose distance from the reference point is given by the position function, d(t) = t2 + 4t + 12 m after t seconds. Find:
a. the position of the object after 1, 2, 3, 4, and 5 seconds.
b. the average velocity of the object from 3 seconds to 4 seconds.
c. the displacement from 1 second to 2 seconds.
d. the instantaneous velocity after 3 seconds and after 5 seconds.
e. the acceleration at t second/s.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
d(t)=t^2+4t+12
d(1)=1+4+12=17 m
d(2)=4+8+12=24 m
d(3)=9+12+12=33 m
d(4)=16+16+12=44 m
d(5)=25+20+12=57 m
-
average velocity from 1 to 2
d(2)-d(1) divided by 2-1
This is 7 m/sec
-
displacement is 7 meters
-
instantaneous velocity
dv/dt=2t+4
when t=3, dv/dt=10 m/sec velocity; t=5; dv/dt=14 m/sec velocity.
-
acceleration at the seconds is 2nd derivative
That is 2t, and that is the acceleration at t seconds.
RELATED QUESTIONS
The table below shows position and time data for your walk along a straight path. (a)... (answered by ikleyn)
An object moves along a straight path at a speed v(t) = 2+4t-t2 of m/s. When will the... (answered by ikleyn)
An object moves along a straight path at a speed v(t) = 4t^2 + 3t + 2 in m/s, where t =... (answered by Alan3354)
Near the surface of the moon, the distance that an object falls is a function of time. It (answered by addingup)
A point moves in a straight line so that its distance s from the origin at time t is... (answered by Alan3354)
An anthropologist drives a car at a speed of 30mph along a straight road in Giza Egypt... (answered by stanbon)
A point moves along a straight path. The function
f(t)=log3(t)
determines the... (answered by Boreal)
A point moves along a straight path. The function f(t)=log2(t) determines the distance... (answered by MathLover1)
A ship travels from point A to point B along a circular path, center at Island X. Then it (answered by richwmiller)