maximum speed of cheetah is

speed of gazelle is given as

Now the relative speed of Cheetah with respect to Gazelle


now the relative distance between Cheetah and Gazelle is given initially as "d"
now the time taken by Cheetah to catch the Gazelle is given as

so by rearranging the terms we can say


so above is the relation between all given variable
Answer:
144Ns
Explanation:
Impulse is the product of force and change in time or a measure of the change in momentum. Mathematically, Impulse is given as
J = FΔt
Where
J = Impulse,
F = Force,
Δt = change in time.
Due to the varying force, we know that the impulse varies at different points in the motion. Hence, the Net Impulse will be the addition of the individual impulses, i.e.
J = ΣJᵢ
J = J₁ + J₂ + J₃
J = F₁Δt₁ + F₂Δt₂ + F₃Δt₃
=> J = (24*2) + (24*4) + (0*2)
J = 48 + 96 + 0
J = 144 Ns
Answer:
1. Collision- the sudden, forceful coming together in direct contact of two bodies
2. Newton's third law of motion is<em> naturally applied to collisions between two objects</em>. In a collision between two objects, both objects experience forces that are equal in magnitude and opposite in direction.
3. Momentum is the product of a moving object's mass and velocity. When two objects collide the total momentum before the collision is equal to the total momentum after the collision
Answer:
Explanation:
Initial velocity of train u = 3.4 m⁻¹ , Acceleration a = .065 ms⁻² ,
time t = 9.75 x 60 = 585 s.
v = u + at
= 3.4 + .065 x 585
= 41.425 m / s
distance travelled during the acceleration ( s )
s = ut + 1/2 at²
= 3.4 x 585 + .5 x .065 x 585²
= 1989 + 11122.31
= 13111.31 m .
again for slowing process
u = 41.425 m / s
v = u -at
0 = 41.425 - 0.625 t
t = 66.28 s
v² = u² - 2as
0 = 41.425² - 2 x .625 s
s = 1372.82 m