0 to 60 mph in 10 seconds with the A car accelerates smoothly from velocity given in the figure below. Estimate how far the car travels during the 10 -second period. v (mph) 60 40 20 t (sec) 10 5 Rou...
The velocity graph of an accelerating car is shown. v (km/h) 60 40 201 t(seconds) 12 18 (a) Estimate the average velocity Vave of the car during the first 18 seconds. Use the Midpoint Rule with n = 3. (Round your answer to the nearest whole number.) Vave = km/h (b) At what time t was the instantaneous velocity equal to the average velocity? (Round your answer to one decimal place.) S Need Help? Read it Talk to a Tutor
An object has a velocity given by v(t) = { + 20 (in ft/sec) after t seconds. Estimate the total distance traveled by the object on the interval (2, 10) using a left hand sum with n=
Table t in seconds 0 10 15 25 30 40 45 20 35 v(t) in feet per second 274.27 179.23 141.4 108.83 80.80 56.68 35.91 18.04 2.65 223.19 Table II t in seconds 4. 5 14 15 24 25 34 35 44 45 232.8 v(t) in feet per second 223.19 148.52 39.82 35.91 5.55 141.4 86.08 80.80 2.65 Part ll: Analysis of Data Applying Integrals Calculating total change (distance traveled) of the aircraft. Using the data in Table I, use...
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....
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3) The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
10. The figure below shows the v-t graph for the motion of a car along a straight road. Assume the car starts from rest at s0. v (ft/s) 60 u=1+30 40 t (s) 10 30 a. b. c. Draw the s-t graph for the car Determine the average speed over the 30-second time interval Determine the total distance traveled over the 30-second time interval
Table t in seconds 0 10 15 25 30 40 45 20 35 v(t) in feet per second 274.27 179.23 141.4 108.83 80.80 56.68 35.91 18.04 2.65 223.19 Table II t in seconds 4. 5 14 15 24 25 34 35 44 45 232.8 v(t) in feet per second 223.19 148.52 39.82 35.91 5.55 141.4 86.08 80.80 2.65 Part IV: Analysis of the Model: Calculate the distance and acceleration using a model rather than data. 1100 462 -0.03t P The...
v: velocity (mph) 20 30 40 50 60 70 80 d: stopping distance (feet) 39 75 118 172 230 305 395 The table above gives the stopping distance d of a car driven at velocity v by an unimpaired person on a paved road in good weather. The function d(v), measured in feet, is twice differentiable with d'(v)>0 and d"(v)>0. 1) Find the average rate of change of the stopping distance of the car between 50 and 60 mph. Specify...
Table I 25 tin seconds 5 10 15 20 30 35 40 45 v(t) in feet per second 274.27 179.23 80.80 56.68 35.91 18.04 2.65 223.19 141.4 108.83 Table I t in seconds 4 24 25 35 45 5 14 15 34 44 v(t) in feet per second 232.8 223.19 141.4 86.08 80.80 39.82 35.91 5.55 2.65 148.52 Analysis of the Model: Calculate the distance and acceleration using a model rather than data. 1100-0.03t 462 The model for this set...
3. [0.34/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 5.1.014. The table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing at the Daytona International Speedway in Florida. Time (s) Velocity (mi/h) 0 181.9 10 168.0 20 105.6 30 98.8 40 123.5 50 175.1 60 175.6 (a) Estimate the distance (in mi) the race car traveled during this time period using the velocities at the beginning of the time intervals. (Round your answer to three decimal places.)...