posted by Ann
A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= α t2− β t3, where α = 1.43m/s2 and β = 4.60×10−2m/s3 .
1)Calculate the average velocity of the car for the time interval t=0 to t1 = 2.04s
2)Calculate the average velocity of the car for the time interval t=0 to t2 = 4.09s .
3)Calculate the average velocity of the car for the time interval t1 = 2.04s to t2 = 4.09s .
velocity=d distance/dtime= d/dt (a t^2-Bt^3)
a) average= (v(2.04)-v(o))/2.04 where
v(2.04)= 2A*2.04-3B*2.04^2 where A, B are given.
A small rock is thrown vertically upward with a speed of 12.0 m/s from the edge of the roof of a 23.0 m tall building. The rock doesn't hit the building on its way back down and lands in the street below. Air resistance can be neglected.
What is the speed of the rock just before it hits the street?
Express your answer with the appropriate units.