The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals. х (m) 10 6. 4 t (s) 1 2 3 4 5 6 78 -2 -4 -6 (a) 0 to 2 s m/s (b) 0 to 3 s m/s (c) 2 to 6 s m/s (d) 3 to 7 s m/s (e) 0 to 7 s m/s
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- The velocity of a rocket is given as a function of time by v(t) = A(1 – e-bt) for 0 , t , 30 s, where the constants A = 150 and b = -0.15. [ d/dx (e-ax dx) = -a e-ax; ∫ e-ax dx = -1/a e-ax ] a) What are the SI units of A and b? b) What is the speed of the rocket at t = 10 s? c)Find the displacement of the rocket in the first 10 s ( from t = 0 s to t = 10 s)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 20the motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and b is 2.84 in m/s^2. find the instantaneous velocity in m/s of the particle from time t 5.93s. Express your answer rounded off to two decimal places. Do not include the unit.
- The 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.A car traveled at a rate of 50 km/hr for 8 minutes and then at 25 km/hr for 7 min and finally at 20 km/hr for 2 min. What is APPROXIMATELY the average speed for ?the complete trip of the car in (m/sec) 10.71 O 13.74 O non of them O 12.88 OA car starts moving at time t=0 and goes faster and faster. Its velocity is shown in the following table. t (seconds) 0 3 6 9 12 Velocity (ft/sec) 0 8 27 43 74 A. Estimate how far the car traveled during the first 12 seconds using the left-hand sums with 4 subdivisions. Answer: B. Now estimate how far the car traveled during the first 12 seconds using the right-hand sums with four subdivisions. Answer:
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