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Darya [45]
4 years ago
11

The height, s, of a ball thrown straight down with initial speed 64 ft/sec from a cliff 80 feet high is s(t) = â16t2 â 64t + 80,

where t is the time elapsed that the ball is in the air. what is the instantaneous velocity of the ball when it hits the ground?
Physics
1 answer:
mestny [16]4 years ago
8 0
The height of the ball (ft), measured upward from the ground is
s(t) = 16t² + 64t + 80
where t = time when the ball is in the air.

When the ball hits the ground, s = 0. The time(s) when this occurs is given by
16t² + 64t + 80 = 0
Divide through by 16.
t² + 4t + 5 = 0
(t - 1)(t + 5) = 0
t = 1 or t = -5 s
Reject negative time, so that
t = 1 s

The velocity function is
v(t) = 64 + 32t
When t = 1 s, obtain
v(1) = 96 ft/s

Answer:
The ball hits the ground with velocity 96 ft/s.
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Suppose I create a two-slit interference pattern using light with some wavelength lambda and slits with some separation D. If I
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It takes the car 14 seconds to stop

Explanation:

A car is traveling at a constant velocity of 19 m/s when the driver puts

on the brakes to accelerate it at -1.4 m/s² until stopped

1. The initial velocity is 19 m/s

2. The acceleration is -1.4 m/s²

3. The final velocity is zero

We need to find how long it takes the car to stop

We can find the time by using the rule

→ v = u + a t

where v is the final velocity, u is the initial velocity, a is the

acceleration and t is the time

→ v = 0 m/s , u = 19 m/s , a = -1.4 m/s²

Substitute these values in the rule

→ 0 = 19 + (-1.4) t

→ 0 = 19 - 1.4 t

Add 1.4 t to both sides

→ 1.4 t = 19

Divide both sides by 1.4

→ t = 13.57 ≅ 14 seconds

It takes the car 14 seconds to stop

Learn more:

You can learn more about velocity in brainly.com/question/10772739

#LearnwithBrainly

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