Question

Josh is climbing up a steep 33 ∘ slope, moving at a steady 0.50 m/s along the ground (Physics):

How many meters of elevation does he gain in one minute of this climb?
a. 30 m
b. 35 m
c. 40 m
d. 45 m

Answer 1

Josh gains approximately 30 meters of elevation after climbing up a 33-degree slope at a steady 0.5 m/s for one minute. The correct answer is option a. 30 m.

Step-by-step explanation:

The calculation involves the sine of the angle multiplied by speed and time. The correct answer is option a. 30 m. To find out how much elevation Josh gains, we need to use the sin function because we are given the slope angle and the speed along the ground. Since he climbs a slope at a 33° angle with respect to the horizontal at 0.50 m/s, the vertical component of his speed can be calculated using the formula:

v_y = v · sin(θ) = 0.50 m/s · sin(33°)

To find out how high he climbs in one minute, we need to multiply the vertical speed by the number of seconds in a minute:

Elevation gain = v_y · time = 0.50 m/s · sin(33°) · 60 s

After calculating, we find the elevation gain to be approximately 30 meters.