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Trial Projectile in Air Projectile of Blowgun ?d x (m) ?d y (m) t (s) v x (m/s)

ID: 1487997 • Letter: T

Question

Trial

Projectile in Air

Projectile of Blowgun

?dx

(m)

?dy

(m)

t

(s)

vx

(m/s)

vf-y

(m/s)

|vf| (m/s)

?(vf)

(°)

?d

(m)

a

(m/s2)

t

(s)

Ortenzi

9.0

-0.170

0.186

48.34

-1.83

48.38

-2.16

1.38

Shawna

-0.180

0.192

46.98

-1.88

47.02

-2.29

Josh

-0.290

0.243

37.01

-2.39

37.09

-3.68

Dan M.

-0.280

0.239

37.67

-2.34

37.74

-3.55

Elijah

-0.290

0.243

37.01

-2.39

37.09

-3.68

Eric

-0.460

0.306

29.39

-3.00

29.54

-5.81

Matt S.

-0.425

0.294

30.58

-2.89

30.71

-5.37

Joe

-0.450

0.303

29.71

-2.97

29.86

-5.68

Gordon

-0.305

0.249

36.09

-2.45

36.17

-3.87

Dan J.

-0.490

0.316

28.48

-3.10

28.64

-6.18

John

-0.640

0.361

24.92

-2.54

25.17

-8.01

Ian

-0.415

0.291

30.94

-2.85

31.07

-5.25

Matt H.

-0.320

0.255

35.24

-2.51

35.33

-4.06

Jean

-0.395

0.284

31.71

-2.78

31.84

-5.00

Table 1

Calculate the acceleration of the projectile as it travels through the barrel of the blowgun.

Note: The acceleration of the projectile as it travels through the barrel of the blowgun is not 0m/s2nor -9.81m/s2.

---Please help me with what equation to use for acceleration. The information in Table 1 is all the information given, an example of solving for acceleration only needs to be shown for one trial(one student).

Trial

Projectile in Air

Projectile of Blowgun

?dx

(m)

?dy

(m)

t

(s)

vx

(m/s)

vf-y

(m/s)

|vf| (m/s)

?(vf)

(°)

?d

(m)

a

(m/s2)

t

(s)

Ortenzi

9.0

-0.170

0.186

48.34

-1.83

48.38

-2.16

1.38

Shawna

-0.180

0.192

46.98

-1.88

47.02

-2.29

Josh

-0.290

0.243

37.01

-2.39

37.09

-3.68

Dan M.

-0.280

0.239

37.67

-2.34

37.74

-3.55

Elijah

-0.290

0.243

37.01

-2.39

37.09

-3.68

Eric

-0.460

0.306

29.39

-3.00

29.54

-5.81

Matt S.

-0.425

0.294

30.58

-2.89

30.71

-5.37

Joe

-0.450

0.303

29.71

-2.97

29.86

-5.68

Gordon

-0.305

0.249

36.09

-2.45

36.17

-3.87

Dan J.

-0.490

0.316

28.48

-3.10

28.64

-6.18

John

-0.640

0.361

24.92

-2.54

25.17

-8.01

Ian

-0.415

0.291

30.94

-2.85

31.07

-5.25

Matt H.

-0.320

0.255

35.24

-2.51

35.33

-4.06

Jean

-0.395

0.284

31.71

-2.78

31.84

-5.00

Table 1

Explanation / Answer

v(t) = at v= sqrt (vx^2 + vf^2)= 68.39
s(t) = 1/2 at^2 , s(t)=d=1.38 m

at = 68.39, so a = 68.39/t
1/2 (68.39/t)t^2 = 1.38, so
t = 0.0404 s

therefore a=v/t =68.39/0.0404 =1692.82 m/s^2

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