A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 44 ft/s. Its height in feet after t seconds is given by y = 44t23t². A. Find the average velocity for the time period beginning when t = 2 and lasting .01 s: .005 s: .002 s: .001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. B. Estimate the instantaneous velocity when t = 2. Answer:

2 2. A ball is thrown upward from the top of a 6 feet tall platform. The ball is 30 feet off the ground after 1 second and 22 feet off the ground after 2 seconds. The height h above ground is a quadratic function of the time t after the ball is thrown. a) What is the equation that fits this model? b) How long after the ball is thrown will it reach its maximum height? 2 decimals c) What is the maximum height the ball reaches? Answer Answer Answer

4. A computer animator is trying to make an animation of a rabbit rushing back and forth along a sidewalk. He decides to model the rabbit's velocity over time as shown in the following graph, where time is measured in seconds and velocity is measured in meters per second. velocity 3 2 1 777749 -24 -4 -5 3 4 8 9 time 10 (Here, positive velocities indicate that the rabbit is heading east; negative velocities indicate that the rabbit is heading west.) (a) Suppose the rabbit starts at a position we'll call 0. Sketch a rough graph of the rabbit's position as a function of time on the interval [0, 10]. We do not expect your graph to be perfect, but it should accurately show whether the graph is increasing or decreasing and whether it is concave up or concave down. (b) At time 0, there was a squirrel sitting 2 meters east of the rabbit. Suppose that the squirrel's velocity on [0, 10] is given by the same graph shown above. On your graph from (a), also sketch the squirrel's position as a…

You are driving 65.0 miles/hour and you see a police car, so you slow down to 42.5 miles/hour. It takes you 3 seconds to do this. What is your deceleration? (I asked this one before, but someone plugged in -22.5 miles/hr x 2.237 m/s / 1 mile an hour which I didn't understand)

At what initial speed must the basketball player throw the ball at angle θ0 = 66° to make the foul shot.  d1=1.0 ft, d2=14.0 ft, h1= 7.0 ft and h2= 10 ft.  Enter units in ft/s.  Use g = 32 ft/s/s.  Compute your answer to the ±0.1 f/s.  Hint: Use x = tvcos(θ) and y=vsin(θ)t - 1/2gt2

Q1

Angle 1 3⁰ 2861 0 accel Sin(0) 141 Angle 2 50 ·73106 959 Angle 3 7.30 1.0945 .85 Angle 4 10° 1.7027 Angle 5 14° 22762 -.544.991 ****Graph the acceleration as a function of sin(0). Compute the slope and intercept of this data. Slope = Intercept = Calculate the percent error between your slope and g. On this same graph, sketch the curve a = gsin(0) and note the comparison.

I need help figuring this out