Given that,
The radius of a circular path, r = 32 m
The time of one revolution of a rider is 0.98 s.
To find,
The speed of the rider.
Solution,
Let v is the speed of the rider. Speed is equal to total distance divided by time taken.

So, the speed of the rider is 205.16 m/s.
Answer:
3.57 m/s
Explanation:
The sum of the 2 momentums Is equal the finale momentums. so if momentums Is q, v Is velocity and m Is Mass, q3=m1*v1+m2**v2=16+9=25 m*kg/s
q3=m3*v3
v3=q3/m3=25/(4+3)=3.57m/s
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Answer:
(a)
(b) h is the same
Explanation:
According to the law of conservation of energy:

The skier starts from rest, so
and we choose the zero point of potential energy in the end of the ramp, so
. We calculate the final speed, that is, the speed when the skier leaves the ramp:

Finally, we calculate the maximum height h above the end of the ramp:

The initial vertical speed is given by:

and the final speed is zero, solving for h:

(b) We can observe that the height reached does not depend on the mass of the skier
Answer: a) 10.4km
b) 0.62h
C) 17km/h
d) 9.1km/h
Explanation:
A) suppose you move in the positive direction of an x axis, from a first position of x1 = 0 to a second position of x2 at the station. That second position must be at x2 = 8.4 km + 2.0 km = 10.4 km.
B) time interval Dtwlk (= 0.50 h), but we don't know the driving time interval Dt/dr. However, we know that for the drive the displacement Dx/dr is 8.4 km and the average velocity vavg,dr is 70 km/h.
This average velocity is the ratio of the displacement for the drive to the time interval for the drive:
dv = dx/ dt
dt = dx/dv = 8.4/70 = 0.12h
t = ti + two
t = 0.12 + 0.50 = 0.62h
C) avg speed for the entire trip is the ratio of the displacement of 10.4 km for the entire trip to the time interval of 0.62 h for the entire trip.
Avg v = distance/time
10.4/0.62 = 16.8km/h
D) average speed is the ratio of the total distance you move to the total time interval you take to make that move. The total distance is 8.4 km + 2.0 km + 2.0 km = 12.4 km. The total time interval is 0.12 h + 0.50 h + 0.75 h = 1.37 h.
Avg speed = 12.4/1.37 = 9.1km/h