A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds.
A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table)
A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance covered during those 5 seconds. (Round your answer to three decimal places.) m t(s) v (m/s) t(s) v (m/s) 3.0 10.57 0 0.5 0 4.61 7.34 3.5 1.0 4.0 4.5 10.67 10.78 10.83 1.5 8.82 9.75 2.0 5.0 10.83
The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds. ft (smaller value) ft (larger value) t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 6.79.2 14.1 17.5 19.4 20
The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds. ft (smaller value) ft (larger value) t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 14.1 18.8 19.4 20.2
OUR TEALNER PRACTICE ANOTHER The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds. ft (smaller value) ft (larger value) +(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.79.215.5 17.5 19.4 20.2
Suppose the velocity V in meters per second) of a runner during the first few seconds of e race is given by t ins 0.5 11.5 2 2.5 V in m/s0 4 8.515.119 25 in the tv endpoint approximation and width 0.5 Plot these points in the plane. Sketch the velccity curve. Estimate the distance traveled by the runner by estimating the area under the velocity curve; use rectangles with heights given by a right endpoint approximation and width plane....
Races in athletics are started by the sound of a starting gun, traditionally located to one side of the first lane. But are runners disadvantaged if they are further away from the person holding the starting gun? Task Using algebra, investigate whether the distance from the starting gun will impact on a runner’s ability to win a race. Explore which runners would be most disadvantaged if the race was won by 0.1 seconds or 0.01 seconds. Useful information Runners...
3. A race car's velocity during the first 5 seconds of a race can be modeled by v(t)7t 0.5t. Naturally, at t-o the position is zero (it's at the start line). a. Determine the equations for its displacement and acceleration. b. What is the displacement during these 5 seconds? c. What is the average velocity between seconds 4-5? d. Is the average speed the same as the average velocity in this situation?
A long-distance runner has an average speed of 2 m/s during a race. How far does the runner travel in 25 min?
Bruce runs a 100m race. 5 seconds after the race started Bruce is 45 mi from the starting line and reaches his max speed, he runs at his max speed for the rest of the race. Bryce notices that he is 77 meters from the starting line 9 seconds after the race started. a. what is Bryce's max speed b. suppose Bryce runs for an additional Z seconds after reaching his max speed i. how far will Bryce travel during...
The acceleration of a race car for the first few seconds of the race can be approximated by the a(t) = A + Bt linear formula, where t is the time measured in seconds and the values of the constants A and B are: A = 16.0 m/s2 and B = -2.00 m/s3. What is the speed of the car 2.30 s after it starts from rest? How much distance does the car cover during this 2.30 s time period?