Answer:
7.54 m/s²
Explanation:
uₓ(t) = (0.980 m/s³) t²
Acceleration is the derivative of velocity with respect to time.
aₓ(t) = 2 (0.980 m/s³) t
aₓ(t) = (1.96 m/s³) t
When uₓ = 14.5 m/s, the time is:
14.5 m/s = (0.980 m/s³) t²
t = 3.85 s
Plugging into acceleration equation:
aₓ = (1.96 m/s³) (3.85 s)
aₓ = 7.54 m/s²
Answer:
640 N
Explanation:
Given :
Mass of horse, m = 40kg
initial speed of horse, u = 8 m/s
final speed of horse, v = 0 m/s (because horse comes to a sudden stop)
time taken to stop, t = 0.5 s
recall that acceleration = change in speed / time taken for the change
or
a = (v - u) / t (substituting the above values)
a = (0 - 8) / 0.5
a = -16 m/s² (i.e it is a deceleration of 16 m/s²)
since we are not concerned about the direction of the force, we can simply use the absolute value of acceleration which is a = 16 m/s²
also recall that
Force = mass x acceleration
F = ma (substituting the values above)
F = 40kg x 16 m/s
F = 640 N
The correct answer Temporary charge
