# Math

Jake serves a volleyball with an initial velocity of 32 feet per second from 4.5 feet above the ground at an angle 0f 35 degrees.
a) Write parametric equations to model the situation.
h(t) = -16t^2 + 32t + 4.5
---------------------------------------
b) How long will the ball travel before it hits the ground?
Solve -16t^2+32t+4.5 = 0
t = 2.13 seconds
------

1. 👍 0
2. 👎 0
3. 👁 156
1. parametric equations would be

x = (32 cos 35°) t
y = 4.5 + (32 sin 35°)t - 16t^2

solve for t when y=0

4.5+32t-16t^2 is valid only if the ball is hit straight up.

1. 👍 0
2. 👎 0
posted by Steve
2. y(t) = -16 t^2 + 32 sin 35 t + 4.5
x = 32 cos 35

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Pre-Calculus

Jake serves a volleyball with an initial velocity of 32 feet per second from 4.5 feet above the ground at an angle 0f 35 degrees. a) Write parametric equations to model the situation. b) How far will the ball travel( if it hits

asked by Alexis on February 28, 2014
2. ### math

You are playing volleyball. You hit the volleyball with an initial vertical velocity of 15 feet per second when it is 4 feet above the ground. Find how many seconds it takes to reach the maximum height, the maximum height reached,

asked by stefani on August 31, 2013
3. ### Word problems

Jennifer serves the volleyball to Debra with an upward velocity of 10.5ft/s. The ball is 5 feet above the ground when she strikes it. How long does Debra have to react, before the volleyball hits the ground? Round your answer to

asked by Jim on October 6, 2015
4. ### Physics

Stephanie serves a volleyball from a height of 0.85 m and gives it an initial velocity of +6.6 m/s straight up. How high will the volleyball go? The accel- eration of gravity is 9.81 m/s2. Answer in units of m

asked by Lily on October 2, 2012
5. ### Math 1105

- The heights of a ball (in feet) thrown with an initial velocity of 90 feet per second from an initial velocity of 90 feet per second from an initial height of 4 feet is given as a function of time t(in seconds)by s(t)=

asked by Rocio on October 14, 2016
6. ### algebra 2

A player bumps a volleyball with an initial vertical velocity of 20 ft/s. The height of the ball can be model by the function h(t) = -16t2 + 20t + 4, where h is the height in feet and t is the time in seconds. a. What is the

asked by kylie on August 5, 2011
7. ### Physics

Stephanie serves a volleyball from a height of 0.78 m and gives it an initial velocity of +7.7 m/s straight up. How high will the volleyball go? The acceleration of gravity is 9.81 m/s^2. How long will it take the ball to reach

asked by Melanie on January 28, 2013
8. ### Physics

Stephanie serves a volleyball from a height of 0.78 m and gives it a initial velocity of +6.6 m/s straight up. (1): How high will the volleyball go? The acceleration of gravity is 9.81 m/s^2. (2): How long will it take the ball to

asked by Tomas on September 15, 2014
9. ### Maths

object thrown upward from an initial height of h0 feet with an initial velocity of v0 (in feet per second) is given by the formula h(t)=−16t^2+v0t+h0 feet where t is the amount of time in seconds after the ball was thrown. Also,

asked by Ayvar on October 24, 2016
10. ### Math

In physics, one learns that the height of an object thrown upward from an initial height of h0 feet with an initial velocity of v0 (in feet per second) is given by the formula h(t)=−16t^2+v0t+h0 feet where t is the amount of

asked by Anonymous on October 24, 2016

More Similar Questions