Question Solved1 Answer (1 point) A car going at 64 ft/s decelerates at a constant 8 ft/sº to come to a stop. (a) Fill in the following table showing the velocity of the car every second. Fill in a zero velocity for any time after that at which the car comes to a rest. t = 0 1 2 3 4 5 6 7 8 9 = (b) When does the car come to a stop? at t = Using your table, find left and right sums which estimate the total distance traveled before the car comes to rest. Which is an overestimate, and which is an underestimate? The ? is an underestimate, and is = The ? is an overestimate, and is = (c) On a sheet of paper, sketch a graph of velocity against time. On the graph, show an area representing the distance traveled before the car comes to rest. Use the graph to calculate this distance. distance = (d) Now find a formula for the velocity of the car as a function of time: velocity = and then find the total distance traveled by antidifferentiation. distance =

a, b, c, d, e, f F.A block of mass m is placed on an inclined surface that makes an angle 0 above the horizontal. Aconstant horizontal force F is applied on the block, causing the block to accelerate up the incline. Thecoefficient of kinetic friction between the block and the plane is u. Present all answers in terms of m, 0,H, F and g.a. On the diagram below, show all the applied forces on the block when it movesup the plane.b. Determine the normal force applied on the block by the surface.c. Determine the block's acceleration as it moves up the incline.d. If the block slides up at a constant speed, what is the value of force F?e. If the block slides down at a constant speed, what is the value of force F?f. An incline plane making an angle of 25 degrees with the horizontal has a pulleyat its top. A 30-kg block on the plane is connected to a freely hanging 20-kgblock by means of a cord passing over a pulley. Compute the distance the 20-kgblock will fall in 2 seconds starting from rest. (A) If there is no friction (B) if themk = .2M,

JAVA language Given a sorted list of integers, output the middle integer. A negative number indicates the end of the input (the negative number is not a part of the sorted list). Assume the number of integers is always odd. Ex: If the input is: 2 3 4 8 11 - 1 the output is: Middle item: 4

8.50. An alpha particle of mass 4 u moving with a velocity 2000 m/s collides with a carbon atom of mass 12 u at rest. The alpha particle is scattered through an angle of 30°. Considering the collision to be perfectly elastic, calculate the velocities of both particles after collision and the scattering angle of the recoiling carbon. Describe this collision in the CMCS.

Show that if A and B are matrices which don’t commute, then eA+B = eAeB, but if they do commute then the relation holds. Hint: Write out several terms of the infinite series for eA, eB, and eA+B and do the multiplications carefully assuming that A and B don’t commute. Then see what happens if they do commute.

O 9. (05.09 MC) The amount of medicine m in the blood during a four-hour treatment is given as met 2t. Determine when the amount of medicine reaches maximum. (10 points) When the time is such that When the time is such that e-O When the time is such that 2-4me=0. When the time is such that meet = 0 O 9. (05.09 MC) The amount of medicine m in the blood during a four-hour treatment is given as met 2t. Determine when the amount of medicine reaches maximum. (10 points) When the time is such that When the time is such that e-O When the time is such that 2-4me=0. When the time is such that meet = 0

5.21 LAB: Middle item Given a sorted list of integers, output the middle integer. A negative number indicates the end of the input (the negative number is not a part of the sorted list). Assume the number of integers is always odd. Ex: If the input is: 2 3 4 8 11 -1 the output is: Middle item: 4 in C please