An object is projected upward from the sur- face of the earth with an initial speed of 4 km/s. The acceleration of gravity is 9.81 m/s^2. Find the maximum height it reaches. Answer in units of km. An object i...
A baseball is thrown with an initial velocity of magnitude v at an angle of 24.4 with respect to the horizontal (x) direction.At the same time,a second ball is thrown with the same initial speed at a different angle with respect to x.If the two balls land at the same spot,find ....
Find the velocity and position functions given that the acceleration {eq}a(t) =< 2, 6t, 12t^2 > {/eq} and the initial velocity is {eq}v(0) =< 1, 0, 0 > {/eq}, and initial position is {eq}r(0)...
What is the maximum height of a projectile? The maximum height of a projectile can be calculated using the formula: h = (v02 * sin2(θ)) / 2g , where h is the maximum height, v0 is the initial velocity, θ is the angle of launch, and g is the acceleration due to gr...
Answer to: A particle stars at the origin with initial velocity <1,-1,3>. Its acceleration is a(t)= <6t,12t^2,-6t>. Find its position function. By...
A ball was kicked from the ground into the air with an initial upward velocity of 32 feet per second. Write an equation to model the height of the ball and find the maximum height that it reached.
6. An object is projected vertically upwards and its velocity, v,v,v, is modelled by the equation v=14−10t,v=14−10t,v=14−10t, where ttt is the time in seconds after its initial projection. Find the time when the object reaches its maximum height. 1.41.41.4 seconds 141414...
?lfA:-ICE "Measuring the Height of Clouds " F THE electric light pro;:nising to be of great intensity at a s:1mll cost, the thought occurred to me that it might be used with ;, l vantage for the purpose of ascertaining the height of clouds. ,J< ,.. , supposing an electric ...
Answer to: Given the velocity v(t) = \langle e^t, 6t, \cos t \rangle and the initial position r(0) = \langle 4,1,6 \rangle , find the...
Answer to: A bullet leaves the barrel of a weapon with an initial horizontal velocity of 480 m/s. Find the horizontal and vertical displacement...