physics-kin-3309-biomechanics-problem-solving-1

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KIN 3309: Biomechanics
Problem solving 1

1.

Combine the following three velocity vectors to find the resultant vector.

Vector A=3.5 m/s at 220°

Vector B=1.7 m/s at 85°

Vector B=13.7 m/s at 150°

Note that the reference for the angle is the right horizontal.

2.

A runner travels 2 km north, then 1 km west, then 1 km north, then 3 km east. The run
took 45 minutes.
(a) What was the total path length of the run?
(b) What was the average speed of the run?
(c) At the end of the run, how far was the runner from the beginning?

3.

During a 5‐km race, a runner averaged 15 km per hour. What was her final time?

4.

If an object has a horizontal velocity of 20 m/s and horizontal acceleration is zero, what
would be the horizontal velocity after 4 s?

5.

During a 400‐m race, a runner crosses the 100 m mark with a velocity of 10 m/s. What
would be her final position if she maintained her velocity for another 10 seconds?

6.

A soccer ball is rolling with a constant acceleration of ‐0.5 m/s2. At ti = 0 s, the ball has
an instantaneous velocity of 6 m/s. After 3 s of rolling, what would be the velocity of the
ball?

7.

A sprinter running a 100 m dash leaves the starting block and accelerates to a maximum
velocity of 11 m/s at 6 s into the race. The sprinter maintains this velocity for 2 s, and
then slows down until crossing the finish line 11 s after beginning the race.

(a) What was the sprinter’s average acceleration during the first 6 s of the race?

(b) What was the sprinter’s average acceleration from 6 to 8 s into the race?

8.

What would be the magnitude of the resultant velocity of a projectile if the horizontal
velocity was 3 m/s and if the vertical velocity was 4 m/s?

9.

Calculate the apex of a projectile relative to the ground if the initial vertical velocity of
the object was 3 m/s and the height of release was 1 m above the ground.

10.

A punter kicks the football. The football leaves the punter’s foot with a vertical velocity
of 20 m/s and a horizontal velocity of 15 m/s.

(a) If the football is allowed to land on the ground, how long is it in the air?
(b) If the football is allowed to land on the ground, what horizontal distance will it travel?
(c) If the football is caught when it is 1 m above the ground, how long will it be in the air?

(d) If caught at 1 m above the ground, what horizontal distance will the football travel?

(e) At what angle did the football travel immediately after being kicked?

11.

A shot‐putter
A
r throws the shot with a horizontal v
velocity of 10.2 m/s and
d a vertical
ve
elocity of 8.5
55 m/s from
m a height of 2.2 m. Neglect air resist
tance.

g thrown?
a) At what angle did the shot travel immediatel y after being
(a
(b
b) Calculate the resultan
nt velocity im
mmediately a
after being t
thrown.
(c
c) Calculate t
the time to p
peak height.
.
(d
d) Calculate the height o
of the traject
tory from th e point of re
elease.
(e
e) Calculate the total height of the p
parabola.
(f
f) Calculate t
the time from
m the apex t
to the groun
nd.
(g
g) Calculate t
total flight time.
(h
h) Calculate the range of
f the throw.

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