a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in the following figure. (b) Identify the time or times (ta, tb, tc, etc.) at which the acceleration has the greatest positive value. (c) At which times is it zero?

Part (a)  Enter an expression, in terms of A, B, and t, for the velocity of the particle as a function of time.  v(t) = ______ Part (b)  At what time, in seconds, is the particle’s velocity zero? t = ______s

A particle moves in one dimension, and its position as a function of time is given by x (2.0 m/s)t + (-3.6 m/s²)e². (a) What is the particle's average velocity from t 0.45 s to t = 0.55 s? (Indicate the direction with the sign of your answer.) m/s (b) What is the particle's average velocity from t = 0.49 s to t = 0.51 s? (Indicate the direction with the sign of your answer.) m/s MacBook Air 888 F1 F2 F3 F4 F5 F6 @ #3 $4 3 4 Q W E R T G

Assume you are driving a car at a constant speed of 76 km/h. Suddenly you see a deer standing on the highway and you must put on the brakes. Your reaction time (time elapsed between the moment you see the deer and your foot hitting the brakes) is 0.118 s. The brakes provide an acceleration with a magnitude of 4 m/s2, and a direction opposite the initial velocity.   How do you find the total distance traveled?

A motorist travels 160 km at 80 km/h and 160 km at 100 km/h. What is the average speed of the motorist for this trip? (A) D) 91 km/h B C) 90 km/h E) No answer D A) 84 km/h E) B) 89 km/h

In physics, one important application of the derivative involves the height of a free – falling object, which can be modeled using the position function. where h is the height of the object in feet, t is the time in seconds, vo is the initial velocity (in feet per second), and ho is the initial height.

A train is slowing down as it travels along a straight, level track. A uniform acceleration of 1.25 m/s² was achieved as the train slowed down so that the final speed of the train is 20 km/h after traveling a distance of 35 m. (a) What was the speed of the train at the beginning of this distance? (b) How long did it take for the train to travel the 35 m? (c) Include a complete

A special racing car starts from rest and accelerates in a straight line with a constant acceleration of 5.8 m/s². After 376 metres, it deploys a parachute which results in a deceleration of kv? where v is the speed of the car in m/s and k is a constant (has a unit of 1/m). If the car's speed slowed down to 37 km/hr 7.5 seconds after the parachute was deployed, determine the constant k and then give your answer to Z = 1000*|k| rounded to two decimal places. Note that |k| means the absolute value of k.

Solve it correctly.