When jumping, a flea reaches a takeoff speed of 1.5over a distance of 0.45. A.) What is the flea's acceleration during the jump phase. B.) How long does the acceleration phase last?
To find the acceleration of the flea during the jump phase, you can use the equation:
Acceleration (a) = (Final velocity - Initial velocity) / Time
A.) To calculate the acceleration, we need to find the final velocity and the initial velocity. We are given the takeoff speed, so the initial velocity is 0 m/s (as the flea starts from rest).
Initial velocity (u) = 0 m/s
Final velocity (v) = 1.5 m/s
Now we can find acceleration:
Acceleration (a) = (1.5 m/s - 0 m/s) / Time
B.) To calculate the time, we need to rearrange the equation:
Time (t) = (Final velocity - Initial velocity) / Acceleration
From the given information, we have:
Initial velocity (u) = 0 m/s
Final velocity (v) = 1.5 m/s
Acceleration (a) = To be determined
We can substitute these values:
Time (t) = (1.5 m/s - 0 m/s) / Acceleration
Unfortunately, we don't have the value of acceleration, so we cannot determine the duration of the jump phase. If you have any more information, please provide it so that we can help you further.
To determine the flea's acceleration during the jump and the duration of the acceleration phase, we can use the following equations:
A.) We can use the formula for acceleration:
acceleration (a) = (final velocity - initial velocity) / time
Since the flea's initial velocity is 0 m/s and its final velocity is 1.5 m/s, and assuming constant acceleration, we can rearrange the formula as:
a = (1.5 m/s - 0 m/s) / time
B.) To find the duration of the acceleration phase, we can utilize the formula for calculating time:
time = distance / velocity
Since the distance is given as 0.45 m and we know the final velocity is 1.5 m/s (as mentioned), we can rearrange the formula as:
time = 0.45 m / 1.5 m/s
Now, let's calculate the answers:
A.) Acceleration during the jump phase:
a = (1.5 m/s - 0 m/s) / time = 1.5 m/s / time m/s²
B.) Duration of the acceleration phase:
time = 0.45 m / 1.5 m/s = 0.3 s
Therefore:
A.) The flea's acceleration during the jump phase is 1.5 m/s².
B.) The acceleration phase lasts for 0.3 seconds.
During the jump phase the flea has no horizontal acceleration (ignoring air resistance). The only acceleration during the jump phase is 9.81 m/s^2 down.
v = a t
1.5 = a t so t = 1.5/a
d = a t^2
.45 = a t^2
.45 = a (2.25/a^2)
.45 a = 2.25
a = 5