How do you do these projectile motion questions? (1 Viewer)

[emprxss]

10. an arrow is red at a velocity of 24 m/s and is aimed at a target 1 m high and 35 m away. The air resistance is negligible for angles of projection less than 45°. at what angle should the arrow be fired? use g=10m/s^2.

11. a horizontal drainpipe 6 m above sea level empties stormwater into the sea. if the water comes out horizontally and reaches
the sea 2 m out from the pipe, find the initial velocity of the water, correct to 1 decimal place. let g be 10 m/s^2 and neglect air resistance.

13. a gun is aimed at a target on the ground 150 m away. if the initial velocity is 125 m/s, find the angles at which the gun could be fired to reach the target (use g = 10 m/s^2).

14. Jack stands at the window of a building 6.2 m above ground level. He throws his keys straight out of the window (horizontally) and hopes that his friend Tom, who is standing 10.4 m out from the base of the building, will catch them. ignoring air resistance and using 10 m/s^2 for the acceleration due to gravity, find the velocity at which Jack needs to throw his keys, correct to 1 decimal place.

Answers:
10. 20° 34'
11. 1.8 m/s
13. 2° 45', 87° 15'
14. 9.3 m/s

 

[integral95]

I'll only give out the steps for Q10



Sub in the values x = 35 y = 1 V = 24 and solve for theta