Projectile Motion

Question

An arrow is shot at an angle 34 ◦ with the horizontal. It has a velocity of 48 m/s. How high will the arrow go? The acceleration of gravity is 9.8 m/s 2 . Answer in units of m.

If it went 36.717 m high, what horizontal distance will it travel? Answer in units of m.

Answer 1

x = 48cos34°t; y = 48sin34°t - 4.9t² = 0; t = 0 or t = 48sin34°/4.9 = 5.478 s

Horizontal distanse: s = 48cos34°·5.478 m = 218 m

y= 48sin34°t - 4.9t² = 36.717; t = 2.98 s; horizontal distance x = 48cos34°·2.98 m = 118.59 m