Answer:
t = 4.6 s
Explanation:
given,
initial velocity of the car = 23 m/s
declaration rate of car = 5 m/s²
final velocity of the car = ?
time taken to stop the car = ?
using equation of motion to solve the question
v = u + a t
v is final velocity
u is the initial velocity
0 = 23 - 5 t
we have used negative sign because there is deceleration
5 t = 23

t = 4.6 s
time taken to stop the car is equal to t = 4.6 s
Answer:
The initial vertical velocity is zero, u = 0 m/s
Explanation:
Given;
height of the table, h = 0.55 m
horizontal distance traveled by the tennis, x = 0.12 m
Apply the following kinematic equation;
h = ut + ¹/₂gt²
where;
u is the initial vertical velocity = 0, since the tennis ball rolled off the edge of a table.
h = ¹/₂gt²
The time to fall from the vertical height is given by;

The initial horizontal velocity of the tennis is given by;
x = vₓt
vₓ = x / t
vₓ = (0.12) / (0.335)
vₓ = 0.358 m/s
Therefore, the initial vertical velocity is zero, u = 0 m/s and initial horizontal velocity, vₓ is 0.358 m/s
Because an excess of carbon dioxide could lead to global warming and affect climate drastically causing it to be warmer and destroy habitats such as penguins or polar bears.
We need to considerate only the horizontal component of the motion of the toy car.
The formula for the distance in a decelerated motion is:
s = s₀ + v₀·t - 1/2·a·t²
where:
s₀ = initial position = 0
v₀ = initial velocity = 1.21 m/s
t = time elapsed = 0.342 s
a = deceleration = 0.131 m/s²
Plugging in numbers:
s = 0 + 1.21×0.342 - 0.5×0.141×(0.342)²
= 0.406 m
Hence, the toy car traveled a distance of about 41 cm.