If a pronghorn antelope accelerates from rest in a straight line with a constant acceleration of 1.5 m/s2 , how long does it take for the antelope to reach a speed of 18 m/s?
V = Vi + a t
18 = 0 + 1.5 t
it takes the pronghorn antelope 12 seconds to reach 18 meters a second
To find the time it takes for the antelope to reach a speed of 18 m/s, we can use the equation:
v = u + at
where:
v = final velocity (18 m/s)
u = initial velocity (0 m/s, since the antelope starts from rest)
a = acceleration (1.5 m/s^2)
t = time taken
Rearranging the equation to solve for time (t):
t = (v - u) / a
Substituting the given values:
t = (18 m/s - 0 m/s) / 1.5 m/s^2
t = 18 m/s / 1.5 m/s^2
t = 12 seconds
Therefore, it takes the antelope 12 seconds to reach a speed of 18 m/s.
To find the time it takes for the pronghorn antelope to reach a speed of 18 m/s, we can use the equation:
v = u + at
Where:
v is the final velocity (18 m/s)
u is the initial velocity (0 m/s, as the antelope starts from rest)
a is the acceleration (1.5 m/s^2)
t is the time taken
Rearranging the equation to solve for t, we have:
t = (v - u) / a
Substituting the given values:
t = (18 m/s - 0 m/s) / 1.5 m/s^2
Simplifying the equation:
t = 18 m/s / 1.5 m/s^2
t = 12 seconds
Therefore, it takes the pronghorn antelope 12 seconds to reach a speed of 18 m/s.