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June 7th, 2016, 09:17 AM   #1
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using calculus to find speed

Wondering if anyone can help me out with this question please?

Question 1
Toy Train A is moving rightward with a force of   t4 Newtons and toy train B is moving leftward with a force of 5 Newtons as shown below.

a) Both trains move rightward as one afterwards with a combined mass of 0.5 kg. By resolving forces horizontally, show that the acceleration of the engines is   2 /108 s mt  (2) b) After 3 seconds the engines have a velocity of -2 s m / . Using calculus, form an expression for the speed of the engines. (2) c) Calculate the time when the engines are at rest. (2) d) Sketch the velocity time graph for the motion of the engines in the first 4 seconds showing the cut points on the velocity and time axes. (2) e) Using calculus, determine the total distance travelled by the engines in the first 4 seconds of the motion.
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