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- The speed S (m/mii) of an object is defined by S = 6t² + 2t + 3 after t minutes. For the first one minute, the object travelled for 10 m. Determine how far the object travelled for the first two minutes. O 25 O 40 O 20 O 30A car starts from 2.0 m/s and accelerates at 4.0 m/s2 for 6.0 s. How far has it traveled, in meters? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.+8
- Becmid-B71423 ACADENIC) 00 Answer 370.98292 N Flag astion estion velocity (m/sec) vs time (sec) ed out of 8. 13 16 5 55 65 -13 The diagram above shows the velocity(m/s) versus time(s) graph of a man driving a car along a straight line from home to his work. What total distance did he travel in the first 8 seconds? Answer: the canThe velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is measured in meters per second. Determine the total displacement of the particle and the total distance travelled by the particle in the first ten seconds of its travel. Give exact answers, and provide units on your final answer.The position-time graph that describes the motion of an object is given as in the figure below. if the values of a= 138.4m, b=227.5m and c=312.5m, Find the distance traveled by the object ( in units of m) over the time interval of [0, 40] s. x(m) a t(s) 10 30 40 Select one: O A. 263.2 OB. 401.6 OC. 490.7 OD. 678.4 O E. 540.0 20
- A microorganism swimming through water at a speed of 150 \mu m/s suddenly stops swimming. Its speed drops to 75 \mu m/s in 1.3 ms. What is the total distance in \mu m it travels while stopping? Express your answer in micrometersheight h Time Time Mean time t t1 (s) t2 (s?) h/t? (m/s2) g (m/s?) (cm) t2 (s) (s) 20 0.2020 0.2024 0.2022 0.04088 4.8923 9.7846 30 0.2470 0.2476 0.2473 0.06115 4.9059 9.8118 40 0.2850 0.2858 0.2854 0.0814 4.9140 9.828 50 0.3193 0.3183 0.3188 0.1016 4.9212 9.8424 60 0.3506 0.3502 0.3504 0.12278 4.8867 9.7734 a) The average value 'g' from the above table is m/s? b) If the exact value of 'g' at that place is 9.825 m/s2, i) the absolute uncertainty in the value of 'g' is m/s2 ii) the percentage uncertainty in the value of 'g' isMario rides his motorcycle in going to school. He drives at an average speed of 30 kilometers per hour. The distance between his house and the school is 15 kilometers. Every time he sees his best friend Jessica walking on the road, he invites her for a ride and lowers his speed. On the other hand, he increases his speed when he wakes up late for school. a) If x represents the time it takes Mario to drive to school with the given distance of 15 kilometers, how will you represent the relationship of his speed (y) versus the time (x)?
- Problem 2: A car is traveling at a speed of 33 m/s. Part (a) What is its speed in kilometers per hour? Numeric : A numeric value is expected and not an expression. Skm/h = %D Part (b) Suppose the speed limit is 79 km/h. How many kilometers per hour would the car need to slow down to be going the speed limit? Numeric : A numeric value is expected and not an expression. As =Alice is riding a bike at 12 mph, but decides to sprint. She takes 0.7 s to accelerate to 19 mph. At constant acceleration, calculate her acceleration, a/(ft/s2). (Here are possibly convenient conversion aids: 60 mph = 1 mi/min = 88 ft/s. This equation is exact. You may wish to verify the equation. One mile = 60*88 ft, and one hour = 60*60 s.)Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 , where t is in seconds. What is the particle’s velocity when t = 6s, and what is its position when t = 11s? Create a plot for position, velocity, and acceleration versus time, from 0-15s. (Use integration.)
