# 3 Kinematics Problems

1. Jan 18, 2010

1. The problem statement, all variables and given/known data

1. Air Aircraft wants to head due west from Kingston to Toronto with a ground velocity of 400 km/h. The wind is blowing at 40.0 km/h from the north. With what speed and in which direction should the pilot fly the plane in order to make it directly to Toronto. [4]

2. A football player is running at 5.0 m/s [N] when he enters the end zone. 10 m later he comes to rest.

a) What is the acceleration of the player? [4]

3. A soccer player kicks a ball off the ground with an initial velocity of 20 m/s 300 above the horizontal.

a) What is the horizontal range of the ball when it lands back on the field? (Assume the field is level). [4]

2. Relevant equations

3. The attempt at a solution

for 1.
V1=400 km/h
g=400km/h
w=40.0 km/h (s)

g=a+w

400-40.0= a

4.0 x 10^2 km/h

is this right?

for 2.

V2^2-V1^2 / 2d = a

0^2 - 5.0m/s ^2 / 2*10

a=25/20
a=1.3 m/s^2

is this right?

For 3.
Vx(t) = dx
17.3*10s=dx
dx=17.3 m

t=0-10 / -9.8
t=1.0 s

is this right?

Thank you