A driver traveling north slows down from 30.1 m/s to 0 m/s in 6.5 seconds. What is the magnitude of the driver's acceleration? The standard units for acceleration are "meters per second-squared" or "meters per second per second" and it's written as m/s2 or m/s/s. Answer: m/s2

The velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is measured in meters per second. Determine the total displacement of the particle and the total distance travelled by the particle in the first ten seconds of its travel. Give exact answers, and provide units on your final answer.

A car starts moving at time t=0 and goes faster and faster. Its velocity is shown in the following table. t (seconds) 0 3 6 9 12 Velocity (ft/sec) 0 8 27 43 74 A. Estimate how far the car traveled during the first 12 seconds using the left-hand sums with 4 subdivisions. Answer: B. Now estimate how far the car traveled during the first 12 seconds using the right-hand sums with four subdivisions. Answer:

A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The height of the football stadium is 70 feet. The height an object reaches with respect to time is modeled by the following equation: gr +vt +s In the equation, g is -32 ft/sec', v is the initial velocity, s is the initial height, and t is time in seconds. Write a function that models this situation as related to the number of seconds since kickoff. 1. 2. Sketch and describe the graph of this function, including intercepts and maximum height. 3. At what times is the football the same height as the stadium? Explain your answer. 4. Suppose the initial velocity of the kicked football is 68 feet per second. At what times is the football the same height as the top of the stadium? Justify your answer. Now consider that the kicker is trying to kick an extra point. A linebacker on the opposing team has a maximum reach of 10 feet, which includes his height, full extension of his arms, and his…