Answer:
ITS C!!
Explanation:I PROMISE!!
I GOT IT CORRECT!!!
JUST DO IT!!
Express your answer to two significant figures and include the appropriate units.
Answer:
Explanation:
given,
Speed of sound = 343 m/s
frequency of horn = 260 Hz
the friend is approaching, the frequency is increased by the Doppler Effect. The frequency is 266 Hz
using formula
the speed of friends approaching is equal to
This calculus problem can be solved by defining the appropriate variables, constructing a relationship using trigonometry, taking the derivative of both sides with respect to time, and solving for the rate of change of the angle with respect to time. The initial distances, rocket's speed, and angle are used to determine the rocket's position after 3 minutes and thus the rate at which the angle is changing.
This problem involves the concept of related rates in calculus and the understanding of trigonometric relationships. Let's denote the rocket's altitude as y and the angle between the ground and the telescope as θ. We know Δy/Δt = 1300 km/hr, we're given the initial distance (13 km), and we want to find Δθ/Δt at 3 min after lift-off.
From trigonometry, we know that tan(θ) = y/x, where x is the horizontal distance (which remains constant at 13 km) and y is the vertical distance (which is changing). Differentiating both sides with respect to t gives sec²(θ) * Δθ/Δt = Δy/Δt / x. Assuming that the speed of the rocket remains constant, we find that y = (1300 km/hr * 3min)*(1hr/60min) = 65 km at 3 min after launch. Plugging x = 13 km and y = 65 km into the equation tan(θ) = y/x, we get θ = atan(65/13) = 78.69°. Now we can solve for Δθ/Δt using the differentiated equation: Δθ/Δt = ( Δy/Δt / x ) / sec²(θ) = (1300 km/hr / 13 km) / sec²(78.69°). Solving this gives the rate of change of θ with respect to time.
#SPJ12
Andrew's displacement while visiting his grandparents is 35 miles to the east.
The displacement is the shortest distance travelled by the particle. It is the vector quantity which represents both the magnitude and direction.
Given Andrew drives to his friend's house, which is 60 miles to the east. After visiting, he travels 25 miles to the west to visit his grandparents.
The displacement will be
60 miles to the east - 25 miles to the west = 35 miles to the east
Thus, the Andrew's displacement is 35 miles to the east.
Learn more about displacement.
#SPJ2
B. 17 m/s
C. 21.5 m/s
D. 19.5 m/s
Since the acceleration is constant, the average velocity is simply the average of the initial and final velocities of the body:
We can proof that the distance covered by the body moving at constant average velocity is equal to the distance covered by the body moving at constant acceleration a:
- body moving at constant velocity : distance is given by
- body moving at constant acceleration : distance is given by