The motion of a particle is defined by the relation x-3t-6t²-12t+5, where x and t are expressed in m and sec, respectively. Determine the average speed during the time interval ISIS4. (A) 12 m/s B 21 m/s 27 m/s 33 m/s (E 24 m/s
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- A particle is moving along a line with position given by s(t)=t3−(9/2(t2 ))+6t−5 measured in meters, with t≥0 measured in minutes, and the positive direction meaning forward. a) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving forward. b) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving backwards. c) Find the total distance travelled by the particle. d) Find the equation of the acceleration at time t. Give the units, and find the times when the velocity of the particle is not changing. e) Find the displacement.An object's velocity as a function of time in one dimension is given by the expression; v(t) = 2.71t + 7.88 where are constants have proper SI Units. What is the object's velocity at t = 4.19 s?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? with everything in 3 sig figs
- Can someone solve this question, but in the S.I. units meters per second (m/s).An object's position in the x-direction as a function of time is given by the expression; x(t) = 5t2 + 2t where are quantities have proper SI Units. What is the object's average velocity in the x-direction between the times t = 1.11 s and t = 2.18 s. Just enter the number rounded to 3 significant figures and assume it has proper SI Units.One afternoon, a student was going home after attending a calculus class. For this reason, the student orders an online motorcycle taxi through the application. At the time of ordering, the online motorcycle taxi is in the position s = 2t² + 2t+4, where t is in units of time and s is in meters. a. Determine the average speed of the online motorcycle taxi at intervals of 3 minutes to 5 minutes. b. Determine the time when the instantaneous speed of the online motorcycle taxi is exactly the same as the average speed. NEED IN RUSH THANKS
- A car travels a distance d = 29 m in the positive x-direction in a time of t1 = 21.5 s. The car immediately brakes and comes to rest in t2 = 7 s.Randomized Variablesd = 29 mt1 = 21.5 st2 = 7 s What was the car's average velocity in the horizontal direction, in meters per second, during t1? What was the acceleration, in meters per second squared, during time interval t1, assuming the car started from rest and moved with a constant acceleration? What was the car's instantaneous velocity in the horizontal direction, in meters per second, when it began braking? Using the result from part (c), what was the car's horizontal component of acceleration, in meters per second squared, during the braking period?Suppose we measure a car's velocity every two seconds and obtain the data in the table: time(sec) 0 2 4 6 8 10 velocity (ft/sec) 10 28 42 52 58 60 Overestimate how far has the car traveled in the 10-second interval.The following conversions occur frequently in physics and are very useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mph to units in ft/s. (b) The acceleration of a freely falling object is 32 ft/s2. Use 1 ft = 30.48 cm to express this acceleration in units of m/s2. (c) The density of water is 1.0 g/cm3. Convert the density to units of kg/m3. A rather ordinary middle-aged man is in the hospital for a routine check-up. The nurse writes the quantity 200 on his medical chart but forgets to include the units. Which of the following quantities could the 200 plausibly represent? (a) his mass in kilograms; (b) his height in meters; (c) his height in centimeters; (d) his height in millimeters; (e) his age in months. Prove your answer.