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Motion Along a Straight Line

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Please do all problems step by step showing all math used and the equations. ANswers are given, but need to see how got answer. Skip the questions that given a sentence answer. Just do the math questions. Adult here doing his best to get this material. Thanks!

25. At time t = 0, a car has a velocity of 16 m/s. It slows down with an acceleration given by -0.50t, in m/s^2 for t in seconds. At the end of 4.0 s it has traveled:

26. At time t = 0, a car has a velocity of 16 m/s. It slows down with an acceleration given by -0.50t, in m/s^2 for t in seconds. By the time it stops it has traveled:

27. Starting at time t = 0, an object moves along a straight line with velocity in m/s given by v(t) = 98 - 2t^2. where t is in seconds. When it momentarily stops its acceleration is:

28. Starting at time t = 0, an object moves along a straight line. Its coordinate in meters is given by x(t) = 75t - 1.0t^2, where t is in seconds. When it momentarily stops its acceleration is:

29. A car, initially at rest, travels 20 m in 4s along a straight line with constant acceleration. The acceleration of the car is

30. A racing car traveling with constant acceleration increases its speed from 10 m/s to 50 m/s over a distance of 60m. How long does this take?

31. A car starts from rest and goes down a slope with a constant acceleration of 5 m/s^2. After 5 s the car reaches the bottom of the hill. Its speed at the bottom of the hill, in meters per second is:

32. A car moving with an initial velocity of 25 m.s north has a constant acceleration of 3m/s^2 south. After 6 seconds its velocity will be

33. An object with an initial velocity of 12 m/s west experiences a constant acceleration of 4 m.s^2 west for 3 seconds. During this time the object travels a distance of:

34. How far does a car travel in 6 s if its initial velocity is 2 m/s and its acceleration is 2 m/s^2 in the forward direction?

35. At a stop light, a truck travelling at 15 m/s passes a car as it starts from rest. The truck travels at constant velocity and the car accelerates at 3 m/s^2. How much time does the car take to catch up to the truck?

38. A baseball is thrown vertically into the air. The acceleration of the ball at its highest point is

40. A freely falling body has a constant acceleration of 9.8 m/s^2. this means that

42. An object is thrown straight up from ground levle with a speed of 50 m/s. If g = 10 m.s^2, its distance above ground level 1.0 s later is:

43. An object is thrown straight up from ground levle with a speed of 50 m/s. If g = 10 m.s^2, its distance above ground level 6.0 s later is:

44. At a location where g = 9.80 m/s^2, an object is thrown verically down with an initial speed of 1.00 m/s. After 5.00 s the object will have traveled:

45. An object is thrown vertically upward at 35 m/s. Taking g = 10 m/s^2, the velocity of the object 5 s later is

46. A feather, initially at rest, is released in a vacuum 12 m above the surface of the earth. Which of the following statements is correct?

47. An object is released from rest. How far does it fall during the second second of its fall?

48. A heavey ball falls freely, starting from rest. Between the third and fourth second of time it travels a distance of:

49. A rocket is accelerating vertically upward at 9.8 m/s^2 near Earth's surface, it releases a projectile. Immediatley after release the acceleration of the projectile is

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It provides detailed explainations of questions involving motion along the straight line, such as distance, time, velocity, and acceleration. The solution is detailed and has a rating of '5/5'.

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