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A particle is moving with velocity v(t) = t^2 – 9t + 18 with distance, s measured in meters, left or right of zero, and t measured in seconds, with t between 0 and 8 seconds inclusive. The position...

A particle is moving with velocity v(t) = t^2 – 9t + 18 with distance, s measured in meters, left or right of zero, and t measured in seconds, with t between 0 and 8 seconds inclusive. The position...

In an interval of 4 seconds a car goes from 10 km/h to 50 km/h.  what is the acceleration of the car?   a.  40 km/h b.  5 km/h • s c. ...

I was thinking about gravity and isn't it a meters per second per second per second acceleratory force? I mean, as you get close to an object's center of mass the force of gravity gets stronger,...

I need to check my  answer

Here's what I did but I don't know another way of solving this without using point slope form. (0, 6) (1.5, y) y-y1=m(x-x1) y-6=-2(1.5-0) y-6= -3 y=3m/s velocity =3m/s...

Let aT be the tangential component of the acceleration vector of r(t)=<t-sin(t), 1-cos(t), 0>. What is (aT)^2 at t=pi/2? r'(t)=<1-cos(t), sin(t), 0> r''(t)=<sin(t), cos(t),...

On vacation, your 1500kg car pulls a 600kg trailer away from the stoplight with an acceleration of 2.0m/s^2, What is the net force exerted on the trailer, what force does the trailer exert on the...

The carton  lies on a plane tilted at an angle θ = 24.5° to the horizontal, with µk = 0.07. (a) Determine the acceleration of the carton as it slides down the plane. (b) If...