Projectile of ball launched to a specific height#

A ball is launched vertically at Point A with an initial speed of \(v = {{params.v0}} m/s\). It passes through the Point C twice, once on the way up (\(t_1\)), and again on the way down (\(t_2\)). Ignoring air resistance and drag, answer the following questions relative to an observer standing 405 \(m\) away, at Point B.

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Part 1#

At what time \(t_1\) will the line of sight make a \(\theta\) = 45 \(^{\circ}\) angle with the horizontal?

Hint: The line of sight is the dotted line connecting Point B to Point C.

Answer Section#

Please enter in a numeric value in \(seconds\).

Part 2#

Compute the velocity of the ball at \(t_1\) (Positive if up, negative if down).

Answer Section#

Please enter in a numeric value in \(m/s\).

Part 3#

At what time \(t_2 s\) will the line of sight make a \(\theta\) = 45 \(^{\circ}\) angle with the horizontal?

Hint: The line of sight is the dotted line connecting Point B to Point C.

Answer Section#

  • Please enter in a numeric value in \(seconds\).

Part 4#

Compute the velocity of the ball at \(t_2\) (Positive if up, negative if down).

Answer Section#

Please enter in a numeric value in \(m/s\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.