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phy_2.8_projectile motion 拋體運動 1

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

祝祝把小球從大廈的頂部沿水平方向擲出,小球的初速率是20 m s-1。5秒後小球的水平速率 vxv_x  是多少?
A ball is projected horizontally from the top of a building at 20 m s-1. What is its horizontal speed vxv_x   5 s later?

a)

20 m s–1

b)

49 m s–1

c)

53 m s–1

d)

69 m s–1

2.

小區把小球從大廈的頂部沿水平方向擲出,小球的初速率是20 m s-1。5秒後小球的垂直速率 vyv_y  是多少?
A ball is projected horizontally from the top of a building at 20 m s-1. What is its vertical speed vyv_y   5 s later?

a)

20 m s–1

b)

49 m s–1

c)

53 m s–1

d)

69 m s–1

3.

羅文把小球從大廈的頂部沿水平方向擲出,小球的初速率是20 m s–1。5秒後小球的速率v是多少? v=vx2+vy2v=\sqrt{v_x^2+v_y^2}  
A ball is projected horizontally from the top of a building at 20 m s-1. What is its speed v 5 s later? v=vx2+vy2v=\sqrt{v_x^2+v_y^2}  

a)

20 m s–1

b)

49 m s–1

c)

53 m s–1

d)

69 m s–1

4.

一架轟炸機以恆定速度向右水平飛行,每隔一秒投擲一枚炸彈,共投下三枚。三枚炸彈在投擲時相對於轟炸機是靜止的。以下哪幅圖正確顯示投彈後炸彈和轟炸機的位置?

Three bombs are released from a bomber flying horizontally with a constant velocity to the right. They are released from rest relative to the bomber one by one at one-second intervals. Which of the following diagrams correctly shows the positions of the bombs and the bomber after the bombs are released?

a)
b)
c)
d)
5.

AB處於同一高度,B的質量是A的兩倍。在同一時間,A由靜止自由下落,B則以速率u水平地射出。以下哪些敘述是正確的?

(1) AB在同一時間著地。

(2) AB的加速度相同。

(3) AB著地時的垂直速率相同。

a)

只有 (1) (2)

b)

只有 (1) (3)

c)

只有 (2) (3)

d)

(1)、(2) (3)

6.

子彈沿水平方向射向前方1.0 m處的垂直牆壁,射中牆壁的位置在發射點下方0.5 m。子彈的飛行時間是多少? (sy=12gt2)\left(s_y=\frac{1}{2}gt^2\right)  
A bullet is fired horizontally towards a vertical wall 1.0 m away. It hits the wall at a point 0.5 m below the point of projection. What is the time of flight of the bullet? (sy=12gt2)\left(s_y=\frac{1}{2}gt^2\right)  

a)

0.202 s

b)

0.226 s

c)

0.253 s

d)

0.319 s

7.

子彈沿水平方向射向前方1.0 m處的垂直牆壁,射中牆壁的位置在發射點下方0.5 m。子彈以何速率u射出? (sx=ut)\left(s_x=ut\right)  
A bullet is fired horizontally towards a vertical wall 1.0 m away. It hits the wall at a point 0.5 m below the point of projection. At what speed u is the bullet fired? (sx=ut)\left(s_x=ut\right)  

a)

3.13 m s–1

b)

3.95 m s–1

c)

4.43 m s–1

d)

4.95 m s–1

8.

 子彈沿水平方向射向前方1.0 m處的垂直牆壁,射中牆壁的位置在發射點下方0.5 m。子彈射中牆壁時的速率v是多少? (v=vy2+vx2)\left(v=\sqrt{v_y^2+v_x^2}\right)  
A bullet is fired horizontally towards a vertical wall 1.0 m away. It hits the wall at a point 0.5 m below the point of projection. At what speed v does the bullet hit the wall? (v=vy2+vx2)\left(v=\sqrt{v_y^2+v_x^2}\right)  

a)

3.13 m s–1

b)

3.95 m s–1

c)

4.43 m s–1

d)

4.95 m s–1

9.

肥熙把球從桌面沿水平方向拋出,球的初速率為u,在著地前一刻的速率是v。在著地前,球的垂直速率 v_y  是多少? \left(v_x^2+v_y^2=v^2\right)  
A ball is projected horizontally from a table with an initial speed u. It attains a speed v just before hitting the ground. What is its vertical speed  v_y  just before hitting the ground? \left(v_x^2+v_y^2=v^2\right)

a)

u+v2\frac{u+v}{2}

b)

uv\sqrt{uv}

c)

u2+v2\sqrt{u^2+v^2}

d)

v2u2\sqrt{v^2-u^2}

10.

吉銘把球從桌面沿水平方向拋出,球的初速率為u,在著地前一刻的速率是v。球的飛行時間是多少? (vy=gt)\left(v_y=gt\right)
A ball is projected horizontally from a table with an initial speed u. It attains a speed v just before hitting the ground. hat is the time of flight of the ball? (vy=gt)\left(v_y=gt\right)

a)

vg\frac{v}{g}

b)

(vu)g\frac{\left(v-u\right)}{g}

c)

v2u2g\frac{\sqrt{v^2-u^2}}{g}

d)

v2u22g\frac{\sqrt{v^2-u^2}}{2g}

11.

淑晶把球從桌面沿水平方向拋出,球的初速率為u,在著地前一刻的速率是v。球的水平位移 sxs_x 量值是多少? (sx=ut)\left(s_x=ut\right)
A ball is projected horizontally from a table with an initial speed u. It attains a speed v just before hitting the ground. What is the magnitude of the horizontal displacement sxs_x of the ball? (sx=ut)\left(s_x=ut\right)

a)

uvg\frac{uv}{g}

b)

u(vu)g\frac{u\left(v-u\right)}{g}

c)

uv2u2g\frac{u\sqrt{v^2-u^2}}{g}

d)

uv2u22g\frac{u\sqrt{v^2-u^2}}{2g}

12.

圖中的頻閃照顯示一粒子在一豎直面上從位置P水平地投射至空氣。粒子其後到達位置QR,而PQ相隔的時段跟QR的相等。求Q的位置。

The stroboscopic picture shows a particle projected horizontally at position P into the air in a vertical plane. Subsequently the particle reaches positions Q and R such that the time interval between P and O is equal to that between Q and R. Where is Q?

a)
b)
c)
d)
13.

一粒子在一豎直面上從位置P水平地投射至空氣,並以0.05 s的時距進行頻閃照相。求粒子到達位置R所需的時間。

A particle projected horizontally at position P into the air in a vertical plane. A stroboscopic photo is taken at 0.05 s time intervals. What is the time needed to arrive R?

a)

0.05 s

b)

0.10 s

c)

0.15 s

d)

0.20 s

14.

一粒子在一豎直面上從位置P水平地投射至空氣,並以0.05 s的時距進行頻閃照相。求粒子在R的垂直速率 vyv_y  。 (vy=gt)\left(v_y=gt\right)  
A particle projected horizontally at position P into the air in a vertical plane. A stroboscopic photo is taken at 0.05 s time intervals. Find its vertical speed  vyv_y   at R. (vy=gt)\left(v_y=gt\right)  

a)

0.49 m s-1

b)

0.98 m s-1

c)

1.47 m s-1

d)

1.96 m s-1

15.

一粒子在一豎直面上以1 m s-1的初速從位置P水平地投射至空氣,並以0.05 s的時距進行頻閃照相。求粒子在R的速率 v。 (v=vx2+vy2)\left(v=\sqrt{v_x^2+v_y^2}\right)  
A particle is projected horizontally with an initial speed of 1 m s-1 at position P into the air in a vertical plane. A stroboscopic photo is taken at 0.05 s time intervals. Find its speed v at R. (v=vx2+vy2)\left(v=\sqrt{v_x^2+v_y^2}\right)  

a)

1.11 m s-1

b)

1.40 m s-1

c)

1.78 m s-1

d)

2.2 m s-1