Answer:
9m/s²
Explanation:
Given parameters:
Initial velocity = 30m/s
Final velocity = 0m/s
Distance traveled = 50m
Unknown:
Deceleration = ?
Solution:
To solve this problem, we apply the proper motion equation;
V² = U² + 2aS
V is the final velocity
U is the initial velocity
a is the acceleration
S is the distance
Insert the parameters and solve;
0² = 30² + 2(a)50
-900 = 100a
a = -9m/s²
The negative value indicates deceleration.
The motorcycle decelerates at a rate of 9m/s²
The potential energy of any object depends on its mass as well as its height off the ground.
Potential energy = mass x gravity x height.
We don't have enough information to compare the potential energies of these two objects because we don't know their masses.
Explanation:
Length of a string, l = 0.626 m
A tennis ball revolves in a horizontal circle above his head at a rate of 4.50 rev/s.
(a) The centripetal acceleration of the tennis ball is given by :
(b) When r = 0.626 m and ω = 4.50 rev/s
Speed,
When r = 1 m and ω = 4 rev/s
Speed,
Speed is more in second case when child now increases the length of the string to 1.00m but has to decrease the rate of rotation to 4.00 rev/s.
(c) 
Hence, this is the required solution.
<span>a) 10.0 m/s
b) -4.7 m/s
The formula for distance under constant acceleration is
d = 0.5AT^2
The formula for distance with a specified velocity is
d = VT
So the distance the keys travel with an initial velocity and under constant acceleration by gravity is
d = VT - 0.5AT^2
The acceleration due to gravity is 9.8 m/s^2 and the time T is 1.50 s, and finally, the distance traveled is 4.00 m. So substitute those values into the equation and solve for V
d = VT - 0.5AT^2
4.00m = 1.50s * V - 0.5 * 9.8 m/s^2 * (1.5s)^2
Do the multiplications
4.00m = 1.50s * V - 4.9m/s^2 * 2.25 s^2
Cancel the s^2 terms
4.00m = 1.50s * V - 4.9m * 2.25
Do the multiplication
4.00m = 1.50s * V - 11.025m
Add 11.025m to both sides
15.025m = 1.50s * V
Divide both sides by 1.50s
10.01667 m/s = V
Since we have 3 significant figures in the data, round results to 3 significant figures.
V = 10.0 m/s
So the keys were initially thrown upwards with a velocity of
10.0 m/s
Since it took 1.50 seconds from launch to catch, the velocity of the keys will decrease by 9.8 m/s^2 times the time. So
V = 10.0 m/s - 1.50s * 9.8 m/s^2
V = 10.0 m/s - 14.7 m/s
V = -4.7 m/s
So at the time the keys were caught, they were moving downward at a velocity of 4.7 m/s</span>
Answer:
Distance s = 90 meter
Explanation:
Given:
Initial velocity u = 0 m/s
Final velocity v = 30 m/s
Acceleration a = 5 m/s²
Find:
Distance s
Computation:
v² = u² + 2as
30² = 0² + 2(5)(s)
Distance s = 90 meter
