1. A bomb is dropped from an airplane flying horizontally at a speed of 600km/h at a height of 490m. When and where does the bomb strike the ground? After a time of 2s (from the time of release) determine the instantaneous velocity of the bomb. Determine the instantaneous velocity after 3s and using a vector diagram show the acceleration acting on the bomb.

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Chapter1: Units, Trigonometry. And Vectors
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Your first task in solving any projectile problem is to determine which case you are dealing with, and that lets you know what equations to use.  Case 2 has its own special equations.  Case 3 usually involves determining the vertical and horizontal components of the launch velocity.  If you know the horizontal velocity and time, R=Vht works for any case of equation.

1. A bomb is dropped from an airplane flying horizontally at a speed of
600km/h at a height of 490m. When and where does the bomb strike the
ground? After a time of 2s (from the time of release) determine the
instantaneous velocity of the bomb. Determine the instantaneous velocity
after 3s and using a vector diagram show the acceleration acting on the
bomb.
2. A hot air balloon is rising vertically at a speed of 48m/s. At a height of
640m, a ball is projected horizontally with a speed of 30m/s. When and
where will the ball reach the ground? What is the resultant velocity when it
reaches the ground?
3. At one instant a pool ball is traveling & m/s[N30°E], 3s later it is going
0.3m/s [N45°W]. What was the average acceleration in this interval of
time?
4. A bomb is dropped by a B1 bomber flying level at 400m/s [N]. The bomb
strikes the ground 5 seconds later.
a) How high was the plane?
b) What was the instantaneous velocity just before impact?
c) How far North of the release point does the bomb strike?
d) What was the overall displacement of the bomb?
5. In a waterballoon fight, one team uses a slingshot that can launch the
balloons at 50 m/s.
a) At what angle(s) should they launch the balloon to hit a target 100m
away?
b) If they launched a balloon at 20° to the horizon, when and where will it
hit? What will its velocity at impact be?
6. A golf ball is hit with an initial speed of 100m/s at an angle of 40°.
Determine:
a) Time of flight
b) Range
c) Maximum height
d) What is the instantaneous velocity at impact?
Transcribed Image Text:1. A bomb is dropped from an airplane flying horizontally at a speed of 600km/h at a height of 490m. When and where does the bomb strike the ground? After a time of 2s (from the time of release) determine the instantaneous velocity of the bomb. Determine the instantaneous velocity after 3s and using a vector diagram show the acceleration acting on the bomb. 2. A hot air balloon is rising vertically at a speed of 48m/s. At a height of 640m, a ball is projected horizontally with a speed of 30m/s. When and where will the ball reach the ground? What is the resultant velocity when it reaches the ground? 3. At one instant a pool ball is traveling & m/s[N30°E], 3s later it is going 0.3m/s [N45°W]. What was the average acceleration in this interval of time? 4. A bomb is dropped by a B1 bomber flying level at 400m/s [N]. The bomb strikes the ground 5 seconds later. a) How high was the plane? b) What was the instantaneous velocity just before impact? c) How far North of the release point does the bomb strike? d) What was the overall displacement of the bomb? 5. In a waterballoon fight, one team uses a slingshot that can launch the balloons at 50 m/s. a) At what angle(s) should they launch the balloon to hit a target 100m away? b) If they launched a balloon at 20° to the horizon, when and where will it hit? What will its velocity at impact be? 6. A golf ball is hit with an initial speed of 100m/s at an angle of 40°. Determine: a) Time of flight b) Range c) Maximum height d) What is the instantaneous velocity at impact?
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