My guess would be choice D
Answer:
Final vertical velocity = -29m/s
Horizontal distance = 100m
Height = 20.41m
Explanation:
1. The vertical final velocity can be calculated thus: vy = vyo - gt
Where;
vy = vertical velocity (m/s)
vyo = vertical initial velocity (20m/s)
g = acceleration due to gravity (9.8m/s²)
t = time (5s)
Hence, vy = vyo - gt
vy = 20 - (9.8 × 5)
vy = 20 - 49
vy = -29m/s
2. x = V0 x t
Where;
x = horizontal distance (m)
Vo = initial velocity
t = time (s)
x = 20 × 5
x = 100m
3. Maximum height = (voy)²/2g
= 20²/ 2 × 9.8
= 400/19.6
= 20.41m
Answer:
The person is 187[m] farther and 70° south to east.
Explanation:
We can solve this problem by drawing a sketch of the location of the person and the truck, then we will draw the displacement vectors and finally the length of the vector and the direction of the vector will be measured in order to give the correct indication of where the person will have to move.
First we establish an origin of a coordinate system.
We can see in the attached schema that the red vector is the displacement vector from the last point to where the truck is located.
The length of the vector is 187 [m], and the direction is 70 degrees south to East.
Answer:
181.54 K
Explanation:
From gas laws, we know that v1/t1= v2/t2 where v and t represent volume and temperatures, 1 and 2 for the first and second container. Making t2 the subject of the formula then
T2=v2t1/ v1
Given information
V1 435 ml
V2 265 ml
T1 298K
Substituting the given values then
T2=265*298/435=181.54 K
Answer:
1.6 m/s
Explanation:
First you need to find the momentums of each disc by multiplying their velocities with mass.
disc 1: 7*1= 7 kg m/s
disc 2: 1*9= 9 kg m/s
Second, you need to find the total momentum of the system by adding the momentums of each sphere.
9+7= 16 kg m/s
Because momentum is conserved, this is equal to the momentum of the composite body.
Finally, to find the composite body's velocity, divide its total momentum by its mass. This is because mass*velocity=momentum
16/10=1.6
The velocity of the composite body is 1.6 m/s.
