A runner travels 1.5 laps around a circular track in a time of 50 s. The diameter of the track is 40 m and its circumference is 126 m. Find (a) the average speed of the runner and (b) the magnitude of the runner's average velocity. Be careful here; average speed depends on the total distance traveled, whereas average velocity depends on the displacement at the end of the particular journey.

An object is travelling in 1-dimension (i.e. along the x- axis) with a velocity described by the equation: v(t)=v0+1/6st^3 , where s and v0 are constants. The object’s position, and acceleration at time t = 0 are given by d0, and a0 respectively. In terms of the variables given, what is the average acceleration of the object over the interval from 0 to 2 seconds.

A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 30.0 min at 50.0 km/h, 12.0 min at 60.0 km/h, and 30.0 min at 40.0km/h and spends 55.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.km/h(b) Determine the distance between the initial and final cities along the route. km

An object's position as a function of time in one dimension is given by the expression; 3.89t2 + 2.22t + 7.48 where are constants have proper SI Units. What is the object's average velocity between the times t = 3.16 s and t = 8.38 s? Quantities and answer in 3 sig figs

Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a woman accidentally steps barefoot on a thumbtack. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the woman is 1.80 m tall and the nerve impulse travels at uniform speed.

Chapter 02, Problem 10 In reaching her destination, a backpacker walks with an average velocity of 1.26 m/s, due west. This average velocity results, because she hikes for 6.62 km with an average velocity of 2.54 m/s due west, turns around, and hikes with an average velocity of 0.381 m/s due east. How far east did she walk (in kilometers)? dw VE West East dɛ Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work

A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 60.0 min at 95.0 km/h, 14.0 min at 100.0 km/h, and 60.0 min at 50.0km/h and spends 25.0 min eating lunch and buying gas. (a) Determine the average speed for the trip. (b) Determine the distance between the initial and final cities along the route.

A vehicle travels at a speed of 4 m/ sec along a horizontal Circular road that has a radius of 50m its speed is then increased by ú= (0.05.s) m/sec² for a short distance from S = 0, where s is in meters. Calculate the magnitude of its acceleration when it has moved s = 10m in ml sec².

A proton moves along the x axis according to the equation x = 54 t+ 11 t2, where x is in meters and t is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton at t = 3.0 s. (a) Number i Units (b) Number i Units (c) Number i Units

(a) Calculate the height (in m) of a cliff if it takes 2.30 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.07 m/s. (Enter a number.) m (b) How long (in s) would it take to reach the ground if it is thrown straight down with the same speed? (Enter a number.) s †