A car 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)-at2-Bt3, where a = 2.25 m/s2 and B = 0.0550 m/s3. Calculate the average velocity of the car for the time interval to = 0 to t = 3.00 s.

A car is traveling west at 17.5 m/s when it turns due north and accelerates to 32.5 m/s, all during a time of 4.00 s. Calculate the magnitude of the car's average acceleration (in m/s2).

An insect takes 8.03 minutes to walk 19.9 m toward the south along a deserted highway. A driver stops and picks up the insect. The driver takes the insect to a town 1.62 km to the north with an average speed of 15.6 m/s. What is the magnitude of the average velocity of the insect for its entire journey? Express your answer to 3 significant figures in meters/second.

A physics teacher walks 5 km East, 2.5 km South, 5 km West, and finally 2.5 km North. The entire motion lasted for 3 hours. Determine the average speed and the average velocity.

Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally steps barefoot on a pebble. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the person is 1.60 m tall and the nerve impulse travels at uniform speed.

Dr. John Paul Stapp was a U.S. Air Force officer who studied the effects of extreme deceleration on the human body. On December 10, 1954, Stapp rode a rocket sled, accelerating from rest to a top speed of 282 m/s (1015 km/h) in 5.00 s, and was brought jarringly back to rest in only 1.40 s!Calculate the magnitude of his average acceleration during the first part of his motion. Express your answer in multiples of g by taking its ratio to 9.80 m/s2. calculate the magnitude his average deceleration during the second part of his motion. Express your answer in multiples of g by taking its ratio to 9.80 m/s2.

A blue car travels down a straight road at a constant speed of 21.7 m/s. As they pass a red car, initially stopped on the side of the road, the red car speeds up at a rate of 2.12 m/s2. How much distance (in m) does the blue car travel before the red car overtakes the blue car?

A car starts from rest at t = 0 s, and speeds up with a constant acceleration of 1.81 m/s2 for 6.00 s. Then it continues with a uniform speed for another 6.00 s. Finally, it speeds up with a constant acceleration of 2.02 m/s2 until it reaches a speed of 18.0 m/s. (a) Draw the velocity vs. time and acceleration vs. time graphs for this motion. Numerical values on the graphs are not required. (b) How long does it take for the car to reach a speed of 18.0 m/s? Time is measured from the beginning at t = 0 s (c) What is the total displacement of the car?

Problem 2: An object is thrown from the top of a building that is 16.4 m high. The object is thrown with a velocity of 7.3 m/s. Part (a) How high above the ground does the object go? Numeric : A numeric value is expected and not an expression. h = Part (b) How long is it in the air in seconds? Numeric : A numeric value is expected and not an expression. t = Part (c) What is the velocity of the object in m/s after 0.5 s? Numeric : A numeric value is expected and not an expression. v = Part (d) What is the velocity of the object in m/s after 1.5 s? Numeric : Anumeric value is expected and not an expression. V = Part (e) What is the velocity of the object in m/s when it reaches the bottom? Numeric : A numeric value is expected and not an expression. V =

George, the absent-minded professor, drives his car 5.0 miles due east alonga straight road to the grocery store. Upon arriving there 15 minutes (0.25 h) after he left home, he suddenly realizes he forgot his grocery list. He immediately turns around and heads back towards home. After travelling 6.8 miles due west in 12 minutes (0.20 h), the car runs out of gas. What is his average speed during the not-quite-completed trip?