For unlimited access to Homework Help, a Homework+ subscription is required.
The position of an object as a function of time is given by x(t)=at^3 - bt^2 + ct -d where a=6.7 , b=3.8 , c=6 and d= 7 .(a) Find the instantaneous acceleration at = 4.6 s.(b) Find the average acceleration over the first 4.6 seconds.
A car is stopped at a traffic light. It then travels along astraight road so that its distance from the light is given by x(t)= bt2 - ct3, where b = 2.80 m/s2 and c = 0.150 m/s3.(a) Calculate the average velocity of the car for the time intervalt = 0 to t = 10.0 s.(b) Calculate the instantaneous velocity of the car at thefollowing times:t = 0/t = 5.0 s and 10.0 s (m/s)(c) How long after starting from rest is the car again at rest? (inseconds)
The position of an object is given by x = bt3 - ct2 + dt. What isthe instantaneous acceleration of the object when t =3.5 s? Assumeb = 4.1 m/s3, c = 2.2 m/s2 and d = 1.7 m/s.