A) For upward projection.
v = u -gt
but v = 0, thus u = gt,
t = u/g, t= 7.83/9.81, t = 0.798 sec
Therefore, distance, s
S = ut -1/2gt²
= 7.83(0.798) - 1/2(9.81)(0.798²)
= 6.248 - 3.124
= 3.124 m
Total Height is 10.3 + 3.124 = 13.424 m
For the case of free fall
s= ut + 1/2 gt² but u =0
s = 1/2 gt²
t² = (2 × 13.424)/9.81
t² = 2.7368
t = 1.654 s
Therefore, the time the stone remains in air will be 1.654 + 0.798
= 2.452 seconds
b) Speed of the impact on the ground
v= u + gt but, u = 0
thus v = gt
therefore, v = 9.81 × 1.653
= 16.216 m/s
Answer:
Acceleration at its most basic is the act of increasing your running speed. From a standing start (or blocks), you explode into action. If you’re already running, you pick up the pace. Acceleration continues until you can no longer increase your speed, at which point you achieve maximum velocity (top-end speed). Acceleration seems simple enough. The plus means your increasing speed, the k=minus means your decreasing in speed.
Explanation:
Answer:
(A) 1.01 s
(B)
Explanation:
horizontal distance (L) = 3 m
vertical height (h) = 1.25 m
acceleration due to gravity (g) = 9.8 m/s^{2}
(A) hang time refers to how long the person remains in the air, and is the summation of the time it took attain maximum height and the time it takes to get back to the ground.
- it is going to take the same amount of time to attain maximum height and to return to the ground.
- from s = ut + 0.5g we can get the time taken to attain maximum height.
where s = vertical distance = 1.25 m
u = initial velocity = 0 (since body starts from rest)
g = acceleration due to gravity = 9.8 m/s^{2}
t == time taken to get to maximum height
the equation now becomes s = 0.5g
1.25 = 0.5 x 9.8 x
= 1.25/(0.5x9.8)
t =
t = 0.505 s
- now that we have the time taken to attain maximum height which is also equal to the time it takes to get back to the ground.
total time = time taken to attain maximum height + time it takes to get back to the ground.
total time = 0.505 + 0.505 = 1.01 s
(B) when horizontal distance = 6 m , the hang time would remain the same, because the horizontal component does not affect the vertical component . Also we can see that from the equation used in part A above the horizontal component was not used to solve for the time. Therefore hang time = 1.01 s
Answer: 20.73 m/s
Explanation:
The centripetal force is given by the following equation:
(1)
Where:
is the centripetal force
is the mass of the car
is the centripetal acceleration
Isolating :
(2)
(3)
(4)
Now, there is a relation between the centripetal acceleration and the tangential velocity:
(5)
Where is the tangential velocity and is the radius of the circular path, which can be found if we know its length :
(6)
(7)
(8)
(9)
Substituting (4) and (8) in (5)
(5)
Finding :