CCC Kinematics Problem Set
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PROBLEM SET 3: Kinematics
1. A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and
moving with a constant velocity whose components are 10.0 m/s upward and 15.0 m/s
horizontal and toward the south. You can ignore air resistance.
(a) Where on the ground (relative to the position of the helicopter when she drops) should
the stuntwoman have placed the foam mats that break her fall?
(b) Draw x-t, y-t, vx-t, and vy-t graphs of her motion.
2. A water hose is used to fill a large cylindrical storage tank of diameter D and height 2D.
The hose shoots the water at 45!bove the horizontal from the same level as the base of the
tank and is a distance 6D away (see figure). For what range of launch speeds (?o) will the
water enter the tank? Ignore air resistance, and express your answer in terms of D and g.
3. If ??? = ???? ! ??? + ???? ” ??, where b and c are positive constants, when does the velocity vector
make an angle of 45.07ith the x- and y-axes?
4. The earth has a radius of 6380 km and turns around once on its axis in 24 h.
(a) What is the radial acceleration of an object at the earthàequator? Give your answer in
m/s2 and as a fraction of g.
(b) If arad at the equator is greater than g, objects will fly off the earthàsurface and into
space. (We will see the reason for this in Chapter 5.) What would the period of the earthÊrotation have to be for this to occur?
5. According to the Guinness Book of World Records, the longest home run ever measured
was hit by Roy )zzy arlyle in a minor league game. The ball traveled 188 m (618 ft)
before landing on the ground outside the ballpark.
(a) Assuming the ballàinitial velocity was in a direction 45!bove the horizontal and
ignoring air resistance, what did the initial speed of the ball need to be to produce such a
home run if the ball was hit at a point 0.9 m (3.0 ft) above ground level? Assume that the
ground was perfectly flat.
(b) How far would the ball be above a fence 3.0 m (10 ft) high if the fence was 116 m (380
ft) from home plate?
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1. A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and
moving with a constant velocity whose components are 10.0 m/s upward and 15.0 m/s
horizontal and toward the south. You can ignore air resistance.
(a) Where on the ground (relative to the position of the helicopter when she drops) should
the stuntwoman have placed the foam mats that break her fall?
(b) Draw x-t, y-t, vx-t, and vy-t graphs of her motion.
2. A water hose is used to fill a large cylindrical storage tank of diameter D and height 2D.
The hose shoots the water at 45!bove the horizontal from the same level as the base of the
tank and is a distance 6D away (see figure). For what range of launch speeds (?o) will the
water enter the tank? Ignore air resistance, and express your answer in terms of D and g.
3. If ??? = ???? ! ??? + ???? ” ??, where b and c are positive constants, when does the velocity vector
make an angle of 45.07ith the x- and y-axes?
4. The earth has a radius of 6380 km and turns around once on its axis in 24 h.
(a) What is the radial acceleration of an object at the earthàequator? Give your answer in
m/s2 and as a fraction of g.
(b) If arad at the equator is greater than g, objects will fly off the earthàsurface and into
space. (We will see the reason for this in Chapter 5.) What would the period of the earthÊrotation have to be for this to occur?
5. According to the Guinness Book of World Records, the longest home run ever measured
was hit by Roy )zzy arlyle in a minor league game. The ball traveled 188 m (618 ft)
before landing on the ground outside the ballpark.
(a) Assuming the ballàinitial velocity was in a direction 45!bove the horizontal and
ignoring air resistance, what did the initial speed of the ball need to be to produce such a
home run if the ball was hit at a point 0.9 m (3.0 ft) above ground level? Assume that the
ground was perfectly flat.
(b) How far would the ball be above a fence 3.0 m (10 ft) high if the fence was 116 m (380
ft) from home plate?
1
Purchase answer to see full
attachment
Explanation & Answer:
5 Problems
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