Question

Neglecting air resistance, what maximum height will be reached by an arrow launched straight upward with an initial speed of 35 m/s?

A) 98 m
B) 160 m
C) 41 m
D) 63 m
E) 18 m

Answer 1

The maximum height reached by an arrow launched straight upward with an initial speed of 35 m/s is 62.5 m.

Step-by-step explanation:

To find the maximum height reached by an arrow launched straight upward, we can use the kinematic equation for vertical motion:

vf^2 = vi^2 + 2ad

Where:
vf = final velocity (0 m/s in this case, at maximum height)
vi = initial velocity (35 m/s)
a = acceleration due to gravity (-9.8 m/s^2)
d = displacement (unknown, maximum height)

Rearranging the equation:

d = (vf^2 - vi^2) / (2a)

Plugging in the values:

d = (0 - (35)^2) / (2*(-9.8))

d = -1225 / -19.6

d = 62.5 m

Since the height is measured as a positive value, the maximum height reached by the arrow is 62.5 m.