Question

a baseball is thrown with an intial velocity of 100m/s at angle of 30 above the horizontal.how far from the throwing point will it attain its original level?

Answer 1

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Answer 2

The initial velocity makes an angle 30° with horizontal. So,its vertical component will be 100sin30°=50m/s." role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">100sin30°=50m/s.100sin30°=50m/s.

The time taken by the ball to acheive max height will be at a point when its vertical velocity will be zero. So Vsinx=at" role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">Vsinx=atVsinx=at

T=vsinx/a=5seconds." role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">T=vsinx/a=5seconds.T=vsinx/a=5seconds. So after 5 seconds it will reach its max height. Following the symmetry,it will land after 10seconds.

So the total horizontal distance covered will be vcosx∗10≈866m" role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">vcosx∗10≈866mvcosx∗10≈866m

So the answer will be 866m.

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