The description of the problem is a bit ambiguous as "<span>increasing at the rate of </span>3 inches more than the time" can be interpreted in many ways. Assuming the increase rate is the (3+t) per second and as it expands for 3 seconds, then the diameter of the sphere would be:
d= (3 + t)*t
d= 3t + t^2= 18
r= 1/2 d
r= 1/2*18= 9
volume= 4/3 * pi * r^3
volume= 4/3 * pi * 9^3
volume= 4/3 * pi * 729= 972 pi cubic inches
<span>There are several factors that can influence sonic booms - weight, size, and shape of the aircraft or vehicle, plus its altitude, attitude and flight path, and weather or atmospheric conditions.</span>
OH Cool! So.. 9.8 * 90 = 1/2 * 20 ^2 + 9.8 * hc
The kinematic relations allow finding that the answers for the velocity and the position of the car in a time of 2 s. are:
- The velocity is v = 7 m / s
Kinematics studies the movement of bodies giving relationships between the position, velocity and acceleration of the body
They indicate that the initial velocity is v₀ = 1 m/s, that the car has an acceleration of a = 3 m/s² and asks about the position and velocity after a time of t = 2s
Let's used the kinematics relation
v = v₀ + a t
v = 1 + 3 2
v = 7 m / s
We look for the position
x = v₀ t + ½ a t²
x = 1 2 + ½ 3 2²
x = 8m
In conclusion, using the kinematics relations we can find the answers for the speed and the position of the car in a time of 2 S. They are
- The velocity is v = 7 m / s
Learn more here: brainly.com/question/11298125
