Projectile motion worksheet - DP Physics

Projectile motion worksheet

1.

A ball is kicked horizontally at 8.0 m/s from a cliff 80m high. How far from the base of the cliff will the stone strike the ground?

8 m/s

80 m

= + 1 2 , = 0 /

2

= 2 = (2)(80) = 4.04

9.8

= =

8

4.04 = 32.32

= x

2.

How long will it take a shell fired from a cliff at an initial velocity of 800 m/s at an angle 30? below the horizontal to reach the ground 150m below?

800 m/s 30o

150 m

=

800(cos

30)

=

692.82

=

800(sin

30)

=

400

= + 1 2

2

150 = 400 + 1 -9.8 2

2

-4.92 + 400 - 150 = 0

use of quadratic formula or simple graph and find x-intercept.

t = 0.37 seconds

3.

Jason Kendall throws a baseball with a horizontal component of velocity of 25 m/s. It takes 3.00s to come back to its original

height. Calculate its horizontal range, its initial vertical component of velocity and its initial angle of projection.

m

=

=

25 m

s

= = s

= +

=

0,

=

-9.8

2

,

=

1.5

= - = - -9.8 1.5 = 14.7

=

2 + 2 =

252

+

14.72

=

29

m

= 25 s

= -1

25 29

= 30.45

:

=

+

1 2

2

=

14.7

1 1.5 + 2 -9.8

1.5 2 = 11.03

: = = 25 3 = 75

4.

An egg is thrown horizontally off the roof of SI, which is 60 meters high, with an initial velocity of 6.5 m/s. How long does it take to hit the ground? How far does it go in the x direction?

=

+

1 2

2

, = 0,

2 2(-60) = = -9.8 = 3.5

= = 6.5 3.5 = 22.75

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