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Solving Kinematic Problems Using Equation III

d = vit + ½ at2

Section 1

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A car is traveling at 30.0 m/s and can accelerate at a rate of 5.5 m/s2. How far does the car travel in 8.0 sec?

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List the variables and their values.vi = 30.0 m/sa = 5.5 m/s2

t = 8.0 secd = ?

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Use equation IIId = vit + ½ at2

vf is not mentioned in the problem.

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Substitute the known values.d=(30.0m/s)(8.0sec)+ (1/2)(5.5m/s2)(sec)

Solve for the unknown variable.d = 416 m

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Section 2 What is the initial velocity of an electric car that accelerates at 1.4 m/s2 for 8.0 sec. The distance traveled is 400.0 m.a) 19.4 m/sb) 23.6 m/sc) -182.4 m/sd) 147.2 m/s

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List the variables and their values. a = 1.4 m/s2

t = 8.0 secd = 400 mvi = ?

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Use equation IIId = vit + ½ at2

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Substitute the known values.400m= vi (8.0sec) + (1/2)(1.4m/s2)(8.0sec)2

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Solve for the unknown variable.If you chose b), try again.If you chose c), try again.If you chose d), try again.If you chose a), you are correct.vi = 19.4 m/s

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Section 3 Now you will solve problems by yourself and see if you get the correct answer.

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A vehicle travels 800.0 m while accelerating. The vehicle starts from rest and moves for 30.0 sec. What is the vehicle’s acceleration?

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Answer isa = 1.78 m/s2

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A car starts from rest and accelerates at 5.0 m/s2 for 700.0 m. How long did it take to cover this distance?

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The answer is t = 16.73 sec