A railroad engine is being positioned in a train yard over straight track. Its velocity is...

   

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A railroad engine is being positioned in a train yard over straight track. Its velocity is shown in the graph below in 5-second intervals as well as in a table of values. The graph is linear between t= 0 and t = 15 and has horizontal tangent lines at t = 25, t=35, t=40, and t = 50. At t=0, the engine is in front of a control tower. 4(1) Ar feet per second -10 time (seconds) t (seconds) 0 5 10 15 20 25 30 35 40 45 50 55 60 a. At what values of t does the engine have no acceleration? v(t) ft per second 12 6 0 b. Write an expression for the speed of the engine from 0 <t≤ 15. -6 -10 -12 -9 -2 -12 0 4 0 -2 c. Give an approximation for the acceleration for the engine at t= 30. Specify units. d. For what values of t is the engine speeding up? Explain your reasoning. A railroad engine is being positioned in a train yard over straight track. Its velocity is shown in the graph below in 5-second intervals as well as in a table of values. The graph is linear between t= 0 and t = 15 and has horizontal tangent lines at t= 25, t=35, t=40, and t = 50. At t=0, the engine is in front of a control tower. 4(1) Ar feet per second -10 time (seconds) t (seconds) 0 5 10 15 20 25 30 35 40 45 50 55 60 a. At what values of t does the engine have no acceleration? v(t) ft per second 12 6 0 b. Write an expression for the speed of the engine from 0 <t≤ 15. -6 -10 -12 -9 -2 -12 0 4 0 -2 c. Give an approximation for the acceleration for the engine at t= 30. Specify units. d. For what values of t is the engine speeding up? Explain your reasoning. A railroad engine is being positioned in a train yard over straight track. Its velocity is shown in the graph below in 5-second intervals as well as in a table of values. The graph is linear between t= 0 and t = 15 and has horizontal tangent lines at t = 25, t=35, t=40, and t = 50. At t=0, the engine is in front of a control tower. 4(1) Ar feet per second -10 time (seconds) t (seconds) 0 5 10 15 20 25 30 35 40 45 50 55 60 a. At what values of t does the engine have no acceleration? v(t) ft per second 12 6 0 b. Write an expression for the speed of the engine from 0 <t≤ 15. -6 -10 -12 -9 -2 -12 0 4 0 -2 c. Give an approximation for the acceleration for the engine at t= 30. Specify units. d. For what values of t is the engine speeding up? Explain your reasoning. A railroad engine is being positioned in a train yard over straight track. Its velocity is shown in the graph below in 5-second intervals as well as in a table of values. The graph is linear between t= 0 and t = 15 and has horizontal tangent lines at t= 25, t=35, t=40, and t = 50. At t=0, the engine is in front of a control tower. 4(1) Ar feet per second -10 time (seconds) t (seconds) 0 5 10 15 20 25 30 35 40 45 50 55 60 a. At what values of t does the engine have no acceleration? v(t) ft per second 12 6 0 b. Write an expression for the speed of the engine from 0 <t≤ 15. -6 -10 -12 -9 -2 -12 0 4 0 -2 c. Give an approximation for the acceleration for the engine at t= 30. Specify units. d. For what values of t is the engine speeding up? Explain your reasoning.

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